My scripts:

  • rendered html versions: Rpubs/thomas-weissensteiner
  • .rmd files with executable code chunks: www.github.com/thomas-weissensteiner/portfolio/tree/main/

About myself: www.linkedin.com/in/ThomasWs-Mopfair



1. Background


1.1. Macrophage activation syndrome

Macrophage activation syndrome (MAS) is a severe inflammatory condition that complicates the course of rheumatological disorders. It affects mainly in young people. The symptoms include cytopenia, liver dysfunction with coagulopathy, and neurological manifestations. There is a high risk of rapid progression to multiorgan failure and death.
Treatment of MAS remains largely empirical, despite great improvements in diagnosis and management. Current standard therapy includes high doses of glucocorticoid (GC) but these can have severe longterm side effects, especially in children 1. High GC doses are generally given intravenously, and high dose pulses are the regimen of choice where low-dose steroid therapy is inadequate 2. E.g., methylprednisolon doses ranged from 2 to 30mg/kg/day, including 10–30mg/kg/day, in almost 60% of studies 1. Recently, high-dose GCs together with IL-1 and IFNγ inhibitors have shown promising results, especially in MAS associated with systemic juvenile idiopathic arthritis 1.

1.2. The challenge

“Wonderful Wednesdays” are a monthly webinar organised by the Visualisation Special Interest Group of Statisticians in the Pharmaceutical Industry (PSI).

The data were provided based on two pooled open-label studies in children (n=39) with a diagnosis of MAS disease currently receiving GC treatment. Enrolled subjects started a new investigational drug on day 1, and one objective of the study was to reduce (taper) the GC dose to a safe level during the 8 week interventional period.

The data include daily GC doses levels for the 56 day interventional period, and also weekly average GC doses (week 1-8).

Variable Name Variable Label
SUBJID Subject identifier for the study
ASTDY Analysis relative start day
AVAL1 Daily glucocorticoid dose (mg/kg/day)
AVISITN Analysis visit (N)
AVISIT Analysis visit
AVAL2 Weekly average glucocorticoid dose

The visualisations should address the following questions:

  • How effective was the new investigational drug in reducing GC doses over 8 weeks?
  • What proportion of subjects achieved GC doses between clinically important thresholds of 1.0, 0.5 and 0.2 mg/kg/day, and how did this change over time?
  • How much variability was there in GC doses, e.g. characterise shifts between threshold levels at the individual subject level?

A recording of the session can be found in PSI’s video-on-demand library: PSI VisSIG Wonderful Wednesday 62: Macrophage Activation Syndrom



2. R libraries and example data

## - Chunk libraries_and_data

# R version 4.3.0

# Load R libraries                             - #

library(dplyr)        # version 1.1.4   # general grammar
library(tidyr)        # version 1.3.1   # pivot_longer, pivot_wider
library(purrr)        # version 1.0.2   # map, map2
library(DescTools)    # version 0.99.58 # SomersDelta
library(scales)       # version 1.3.0   # scale_y_continuous(label = percent)
library(ggplot2)      # version 3.4.0   # generation of plots
library(patchwork)    # version 1.3.0   # assembly of plots

# Get the data file

WW_GCdose <- read.csv("https://raw.githubusercontent.com/VIS-SIG/Wonderful-Wednesdays/refs/heads/master/data/2025/2025-04-09/WW_GCdose.csv")

WW_GCdose %>% {print(as_tibble(.), n = nrow(.) )}
## # A tibble: 2,189 × 6
##      SUBJID ASTDY   AVAL1 AVISITN AVISIT                        AVAL2
##       <int> <int>   <dbl>   <int> <chr>                         <dbl>
##    1      1     0  0.521        0 Baseline                     0.521 
##    2      1     1  0.521        1 Week 1 (study day 1 to 7)    0.938 
##    3      1     2  0.521        1 Week 1 (study day 1 to 7)    0.938 
##    4      1     3  0.521        1 Week 1 (study day 1 to 7)    0.938 
##    5      1     4  1.25         1 Week 1 (study day 1 to 7)    0.938 
##    6      1     5  1.25         1 Week 1 (study day 1 to 7)    0.938 
##    7      1     6  1.25         1 Week 1 (study day 1 to 7)    0.938 
##    8      1     7  1.25         1 Week 1 (study day 1 to 7)    0.938 
##    9      1     8  1.25         2 Week 2 (study day 8 to 14)   1.19  
##   10      1     9  1.25         2 Week 2 (study day 8 to 14)   1.19  
##   11      1    10  1.25         2 Week 2 (study day 8 to 14)   1.19  
##   12      1    11  1.21         2 Week 2 (study day 8 to 14)   1.19  
##   13      1    12  1.17         2 Week 2 (study day 8 to 14)   1.19  
##   14      1    13  1.17         2 Week 2 (study day 8 to 14)   1.19  
##   15      1    14  1.02         2 Week 2 (study day 8 to 14)   1.19  
##   16      1    15  1.02         3 Week 3 (study day 15 to 21)  0.938 
##   17      1    16  1.02         3 Week 3 (study day 15 to 21)  0.938 
##   18      1    17  0.938        3 Week 3 (study day 15 to 21)  0.938 
##   19      1    18  0.938        3 Week 3 (study day 15 to 21)  0.938 
##   20      1    19  0.938        3 Week 3 (study day 15 to 21)  0.938 
##   21      1    20  0.859        3 Week 3 (study day 15 to 21)  0.938 
##   22      1    21  0.859        3 Week 3 (study day 15 to 21)  0.938 
##   23      1    22  0.859        4 Week 4 (study day 22 to 28)  0.756 
##   24      1    23  0.781        4 Week 4 (study day 22 to 28)  0.756 
##   25      1    24  0.781        4 Week 4 (study day 22 to 28)  0.756 
##   26      1    25  0.781        4 Week 4 (study day 22 to 28)  0.756 
##   27      1    26  0.703        4 Week 4 (study day 22 to 28)  0.756 
##   28      1    27  0.692        4 Week 4 (study day 22 to 28)  0.756 
##   29      1    28  0.692        4 Week 4 (study day 22 to 28)  0.756 
##   30      1    29  0.692        5 Week 5 (study day 29 to 35)  0.683 
##   31      1    30  0.692        5 Week 5 (study day 29 to 35)  0.683 
##   32      1    31  0.692        5 Week 5 (study day 29 to 35)  0.683 
##   33      1    32  0.692        5 Week 5 (study day 29 to 35)  0.683 
##   34      1    33  0.672        5 Week 5 (study day 29 to 35)  0.683 
##   35      1    34  0.672        5 Week 5 (study day 29 to 35)  0.683 
##   36      1    35  0.672        5 Week 5 (study day 29 to 35)  0.683 
##   37      1    36  0.597        6 Week 6 (study day 36 to 42)  0.582 
##   38      1    37  0.597        6 Week 6 (study day 36 to 42)  0.582 
##   39      1    38  0.597        6 Week 6 (study day 36 to 42)  0.582 
##   40      1    39  0.597        6 Week 6 (study day 36 to 42)  0.582 
##   41      1    40  0.586        6 Week 6 (study day 36 to 42)  0.582 
##   42      1    41  0.586        6 Week 6 (study day 36 to 42)  0.582 
##   43      1    42  0.512        6 Week 6 (study day 36 to 42)  0.582 
##   44      1    43  0.512        7 Week 7 (study day 43 to 49)  0.512 
##   45      1    44  0.512        7 Week 7 (study day 43 to 49)  0.512 
##   46      1    45  0.512        7 Week 7 (study day 43 to 49)  0.512 
##   47      1    46  0.512        7 Week 7 (study day 43 to 49)  0.512 
##   48      1    47  0.512        7 Week 7 (study day 43 to 49)  0.512 
##   49      1    48  0.512        7 Week 7 (study day 43 to 49)  0.512 
##   50      1    49  0.512        7 Week 7 (study day 43 to 49)  0.512 
##   51      1    50  0.512        8 Week 8 (study day 50 to 56)  0.444 
##   52      1    51  0.439        8 Week 8 (study day 50 to 56)  0.444 
##   53      1    52  0.439        8 Week 8 (study day 50 to 56)  0.444 
##   54      1    53  0.439        8 Week 8 (study day 50 to 56)  0.444 
##   55      1    54  0.427        8 Week 8 (study day 50 to 56)  0.444 
##   56      1    55  0.427        8 Week 8 (study day 50 to 56)  0.444 
##   57      1    56  0.427        8 Week 8 (study day 50 to 56)  0.444 
##   58      2     0 26.8          0 Baseline                    26.8   
##   59      2     1  2.39         1 Week 1 (study day 1 to 7)   16.7   
##   60      2     2 27.4          1 Week 1 (study day 1 to 7)   16.7   
##   61      2     3 27.4          1 Week 1 (study day 1 to 7)   16.7   
##   62      2     4 27.4          1 Week 1 (study day 1 to 7)   16.7   
##   63      2     5 26.6          1 Week 1 (study day 1 to 7)   16.7   
##   64      2     6  2.66         1 Week 1 (study day 1 to 7)   16.7   
##   65      2     7  3.19         1 Week 1 (study day 1 to 7)   16.7   
##   66      2     8  3.19         2 Week 2 (study day 8 to 14)   2.93  
##   67      2     9  3.19         2 Week 2 (study day 8 to 14)   2.93  
##   68      2    10  2.93         2 Week 2 (study day 8 to 14)   2.93  
##   69      2    11  2.93         2 Week 2 (study day 8 to 14)   2.93  
##   70      2    12  2.93         2 Week 2 (study day 8 to 14)   2.93  
##   71      2    13  2.66         2 Week 2 (study day 8 to 14)   2.93  
##   72      2    14  2.66         2 Week 2 (study day 8 to 14)   2.93  
##   73      2    15  2.66         3 Week 3 (study day 15 to 21)  2.51  
##   74      2    16  2.66         3 Week 3 (study day 15 to 21)  2.51  
##   75      2    17  2.66         3 Week 3 (study day 15 to 21)  2.51  
##   76      2    18  2.39         3 Week 3 (study day 15 to 21)  2.51  
##   77      2    19  2.39         3 Week 3 (study day 15 to 21)  2.51  
##   78      2    20  2.39         3 Week 3 (study day 15 to 21)  2.51  
##   79      2    21  2.39         3 Week 3 (study day 15 to 21)  2.51  
##   80      2    22  2.39         4 Week 4 (study day 22 to 28)  2.05  
##   81      2    23  2.13         4 Week 4 (study day 22 to 28)  2.05  
##   82      2    24  2.13         4 Week 4 (study day 22 to 28)  2.05  
##   83      2    25  2.13         4 Week 4 (study day 22 to 28)  2.05  
##   84      2    26  2.13         4 Week 4 (study day 22 to 28)  2.05  
##   85      2    27  1.73         4 Week 4 (study day 22 to 28)  2.05  
##   86      2    28  1.73         4 Week 4 (study day 22 to 28)  2.05  
##   87      2    29  1.73         5 Week 5 (study day 29 to 35)  1.65  
##   88      2    30  1.73         5 Week 5 (study day 29 to 35)  1.65  
##   89      2    31  1.73         5 Week 5 (study day 29 to 35)  1.65  
##   90      2    32  1.60         5 Week 5 (study day 29 to 35)  1.65  
##   91      2    33  1.60         5 Week 5 (study day 29 to 35)  1.65  
##   92      2    34  1.60         5 Week 5 (study day 29 to 35)  1.65  
##   93      2    35  1.60         5 Week 5 (study day 29 to 35)  1.65  
##   94      2    36  1.60         6 Week 6 (study day 36 to 42)  1.59  
##   95      2    37  1.60         6 Week 6 (study day 36 to 42)  1.59  
##   96      2    38  1.70         6 Week 6 (study day 36 to 42)  1.59  
##   97      2    39  1.56         6 Week 6 (study day 36 to 42)  1.59  
##   98      2    40  1.56         6 Week 6 (study day 36 to 42)  1.59  
##   99      2    41  1.56         6 Week 6 (study day 36 to 42)  1.59  
##  100      2    42  1.56         6 Week 6 (study day 36 to 42)  1.59  
##  101      2    43  1.48         7 Week 7 (study day 43 to 49)  1.27  
##  102      2    44  1.25         7 Week 7 (study day 43 to 49)  1.27  
##  103      2    45  1.25         7 Week 7 (study day 43 to 49)  1.27  
##  104      2    46  1.25         7 Week 7 (study day 43 to 49)  1.27  
##  105      2    47  1.25         7 Week 7 (study day 43 to 49)  1.27  
##  106      2    48  1.25         7 Week 7 (study day 43 to 49)  1.27  
##  107      2    49  1.14         7 Week 7 (study day 43 to 49)  1.27  
##  108      2    50  1.14         8 Week 8 (study day 50 to 56)  1.09  
##  109      2    51  1.14         8 Week 8 (study day 50 to 56)  1.09  
##  110      2    52  1.14         8 Week 8 (study day 50 to 56)  1.09  
##  111      2    53  1.14         8 Week 8 (study day 50 to 56)  1.09  
##  112      2    54  1.02         8 Week 8 (study day 50 to 56)  1.09  
##  113      2    55  1.02         8 Week 8 (study day 50 to 56)  1.09  
##  114      2    56  1.02         8 Week 8 (study day 50 to 56)  1.09  
##  115      3     0  2.5          0 Baseline                     2.5   
##  116      3     1  2.5          1 Week 1 (study day 1 to 7)    2.5   
##  117      3     2  2.5          1 Week 1 (study day 1 to 7)    2.5   
##  118      3     3  2.5          1 Week 1 (study day 1 to 7)    2.5   
##  119      3     4  2.5          1 Week 1 (study day 1 to 7)    2.5   
##  120      3     5  2.5          1 Week 1 (study day 1 to 7)    2.5   
##  121      3     6  2.5          1 Week 1 (study day 1 to 7)    2.5   
##  122      3     7  2.5          1 Week 1 (study day 1 to 7)    2.5   
##  123      3     8  2.5          2 Week 2 (study day 8 to 14)   2.44  
##  124      3     9  2.51         2 Week 2 (study day 8 to 14)   2.44  
##  125      3    10  2.51         2 Week 2 (study day 8 to 14)   2.44  
##  126      3    11  2.51         2 Week 2 (study day 8 to 14)   2.44  
##  127      3    12  2.51         2 Week 2 (study day 8 to 14)   2.44  
##  128      3    13  2.51         2 Week 2 (study day 8 to 14)   2.44  
##  129      3    14  2.01         2 Week 2 (study day 8 to 14)   2.44  
##  130      3    15  2.01         3 Week 3 (study day 15 to 21)  1.90  
##  131      3    16  2.01         3 Week 3 (study day 15 to 21)  1.90  
##  132      3    17  2.01         3 Week 3 (study day 15 to 21)  1.90  
##  133      3    18  2.01         3 Week 3 (study day 15 to 21)  1.90  
##  134      3    19  1.76         3 Week 3 (study day 15 to 21)  1.90  
##  135      3    20  1.76         3 Week 3 (study day 15 to 21)  1.90  
##  136      3    21  1.76         3 Week 3 (study day 15 to 21)  1.90  
##  137      3    22  1.51         4 Week 4 (study day 22 to 28)  1.33  
##  138      3    23  1.51         4 Week 4 (study day 22 to 28)  1.33  
##  139      3    24  1.51         4 Week 4 (study day 22 to 28)  1.33  
##  140      3    25  1.26         4 Week 4 (study day 22 to 28)  1.33  
##  141      3    26  1.26         4 Week 4 (study day 22 to 28)  1.33  
##  142      3    27  1.26         4 Week 4 (study day 22 to 28)  1.33  
##  143      3    28  1.01         4 Week 4 (study day 22 to 28)  1.33  
##  144      3    29  1.01         5 Week 5 (study day 29 to 35)  0.824 
##  145      3    30  0.806        5 Week 5 (study day 29 to 35)  0.824 
##  146      3    31  0.806        5 Week 5 (study day 29 to 35)  0.824 
##  147      3    32  0.806        5 Week 5 (study day 29 to 35)  0.824 
##  148      3    33  0.781        5 Week 5 (study day 29 to 35)  0.824 
##  149      3    34  0.781        5 Week 5 (study day 29 to 35)  0.824 
##  150      3    35  0.781        5 Week 5 (study day 29 to 35)  0.824 
##  151      3    36  0.781        6 Week 6 (study day 36 to 42)  0.776 
##  152      3    37  0.781        6 Week 6 (study day 36 to 42)  0.776 
##  153      3    38  0.781        6 Week 6 (study day 36 to 42)  0.776 
##  154      3    39  0.781        6 Week 6 (study day 36 to 42)  0.776 
##  155      3    40  0.769        6 Week 6 (study day 36 to 42)  0.776 
##  156      3    41  0.769        6 Week 6 (study day 36 to 42)  0.776 
##  157      3    42  0.769        6 Week 6 (study day 36 to 42)  0.776 
##  158      3    43  0.769        7 Week 7 (study day 43 to 49)  0.604 
##  159      3    44  0.577        7 Week 7 (study day 43 to 49)  0.604 
##  160      3    45  0.577        7 Week 7 (study day 43 to 49)  0.604 
##  161      3    46  0.577        7 Week 7 (study day 43 to 49)  0.604 
##  162      3    47  0.577        7 Week 7 (study day 43 to 49)  0.604 
##  163      3    48  0.577        7 Week 7 (study day 43 to 49)  0.604 
##  164      3    49  0.577        7 Week 7 (study day 43 to 49)  0.604 
##  165      3    50  0.577        8 Week 8 (study day 50 to 56)  0.412 
##  166      3    51  0.385        8 Week 8 (study day 50 to 56)  0.412 
##  167      3    52  0.385        8 Week 8 (study day 50 to 56)  0.412 
##  168      3    53  0.385        8 Week 8 (study day 50 to 56)  0.412 
##  169      3    54  0.385        8 Week 8 (study day 50 to 56)  0.412 
##  170      3    55  0.385        8 Week 8 (study day 50 to 56)  0.412 
##  171      3    56  0.385        8 Week 8 (study day 50 to 56)  0.412 
##  172      4     0 25.5          0 Baseline                    25.5   
##  173      4     1 25.5          1 Week 1 (study day 1 to 7)   13.3   
##  174      4     2 25.5          1 Week 1 (study day 1 to 7)   13.3   
##  175      4     3 26.8          1 Week 1 (study day 1 to 7)   13.3   
##  176      4     4  3.83         1 Week 1 (study day 1 to 7)   13.3   
##  177      4     5  3.83         1 Week 1 (study day 1 to 7)   13.3   
##  178      4     6  3.83         1 Week 1 (study day 1 to 7)   13.3   
##  179      4     7  3.83         1 Week 1 (study day 1 to 7)   13.3   
##  180      4     8  3.83         2 Week 2 (study day 8 to 14)   3.72  
##  181      4     9  3.83         2 Week 2 (study day 8 to 14)   3.72  
##  182      4    10  3.83         2 Week 2 (study day 8 to 14)   3.72  
##  183      4    11  3.83         2 Week 2 (study day 8 to 14)   3.72  
##  184      4    12  3.57         2 Week 2 (study day 8 to 14)   3.72  
##  185      4    13  3.57         2 Week 2 (study day 8 to 14)   3.72  
##  186      4    14  3.57         2 Week 2 (study day 8 to 14)   3.72  
##  187      4    15  3.19         3 Week 3 (study day 15 to 21)  2.93  
##  188      4    16  3.19         3 Week 3 (study day 15 to 21)  2.93  
##  189      4    17  3.19         3 Week 3 (study day 15 to 21)  2.93  
##  190      4    18  2.81         3 Week 3 (study day 15 to 21)  2.93  
##  191      4    19  2.81         3 Week 3 (study day 15 to 21)  2.93  
##  192      4    20  2.81         3 Week 3 (study day 15 to 21)  2.93  
##  193      4    21  2.55         3 Week 3 (study day 15 to 21)  2.93  
##  194      4    22  2.55         4 Week 4 (study day 22 to 28)  2.30  
##  195      4    23  2.55         4 Week 4 (study day 22 to 28)  2.30  
##  196      4    24  2.30         4 Week 4 (study day 22 to 28)  2.30  
##  197      4    25  2.30         4 Week 4 (study day 22 to 28)  2.30  
##  198      4    26  2.30         4 Week 4 (study day 22 to 28)  2.30  
##  199      4    27  2.04         4 Week 4 (study day 22 to 28)  2.30  
##  200      4    28  2.04         4 Week 4 (study day 22 to 28)  2.30  
##  201      4    29  2.04         5 Week 5 (study day 29 to 35)  1.71  
##  202      4    30  1.79         5 Week 5 (study day 29 to 35)  1.71  
##  203      4    31  1.79         5 Week 5 (study day 29 to 35)  1.71  
##  204      4    32  1.79         5 Week 5 (study day 29 to 35)  1.71  
##  205      4    33  1.53         5 Week 5 (study day 29 to 35)  1.71  
##  206      4    34  1.53         5 Week 5 (study day 29 to 35)  1.71  
##  207      4    35  1.53         5 Week 5 (study day 29 to 35)  1.71  
##  208      4    36  1.28         6 Week 6 (study day 36 to 42)  1.28  
##  209      4    37  1.28         6 Week 6 (study day 36 to 42)  1.28  
##  210      4    38  1.28         6 Week 6 (study day 36 to 42)  1.28  
##  211      4    39  1.28         6 Week 6 (study day 36 to 42)  1.28  
##  212      4    40  1.28         6 Week 6 (study day 36 to 42)  1.28  
##  213      4    41  1.28         6 Week 6 (study day 36 to 42)  1.28  
##  214      4    42  1.28         6 Week 6 (study day 36 to 42)  1.28  
##  215      4    43  1.28         7 Week 7 (study day 43 to 49)  1.15  
##  216      4    44  1.20         7 Week 7 (study day 43 to 49)  1.15  
##  217      4    45  1.20         7 Week 7 (study day 43 to 49)  1.15  
##  218      4    46  1.20         7 Week 7 (study day 43 to 49)  1.15  
##  219      4    47  1.06         7 Week 7 (study day 43 to 49)  1.15  
##  220      4    48  1.06         7 Week 7 (study day 43 to 49)  1.15  
##  221      4    49  1.06         7 Week 7 (study day 43 to 49)  1.15  
##  222      4    50  1.06         8 Week 8 (study day 50 to 56)  1.06  
##  223      4    51  1.06         8 Week 8 (study day 50 to 56)  1.06  
##  224      4    52  1.06         8 Week 8 (study day 50 to 56)  1.06  
##  225      4    53  1.06         8 Week 8 (study day 50 to 56)  1.06  
##  226      4    54  1.06         8 Week 8 (study day 50 to 56)  1.06  
##  227      4    55  1.06         8 Week 8 (study day 50 to 56)  1.06  
##  228      4    56  1.06         8 Week 8 (study day 50 to 56)  1.06  
##  229      5     0  2.98         0 Baseline                     2.98  
##  230      5     1  2.38         1 Week 1 (study day 1 to 7)    2.10  
##  231      5     2  2.38         1 Week 1 (study day 1 to 7)    2.10  
##  232      5     3  1.98         1 Week 1 (study day 1 to 7)    2.10  
##  233      5     4  1.98         1 Week 1 (study day 1 to 7)    2.10  
##  234      5     5  1.98         1 Week 1 (study day 1 to 7)    2.10  
##  235      5     6  1.98         1 Week 1 (study day 1 to 7)    2.10  
##  236      5     7  1.98         1 Week 1 (study day 1 to 7)    2.10  
##  237      5     8  1.98         2 Week 2 (study day 8 to 14)   1.81  
##  238      5     9  1.98         2 Week 2 (study day 8 to 14)   1.81  
##  239      5    10  1.79         2 Week 2 (study day 8 to 14)   1.81  
##  240      5    11  1.79         2 Week 2 (study day 8 to 14)   1.81  
##  241      5    12  1.79         2 Week 2 (study day 8 to 14)   1.81  
##  242      5    13  1.79         2 Week 2 (study day 8 to 14)   1.81  
##  243      5    14  1.59         2 Week 2 (study day 8 to 14)   1.81  
##  244      5    15  1.59         3 Week 3 (study day 15 to 21)  1.33  
##  245      5    16  1.39         3 Week 3 (study day 15 to 21)  1.33  
##  246      5    17  1.39         3 Week 3 (study day 15 to 21)  1.33  
##  247      5    18  1.39         3 Week 3 (study day 15 to 21)  1.33  
##  248      5    19  1.19         3 Week 3 (study day 15 to 21)  1.33  
##  249      5    20  1.19         3 Week 3 (study day 15 to 21)  1.33  
##  250      5    21  1.19         3 Week 3 (study day 15 to 21)  1.33  
##  251      5    22  1.09         4 Week 4 (study day 22 to 28)  0.964 
##  252      5    23  1.09         4 Week 4 (study day 22 to 28)  0.964 
##  253      5    24  1.09         4 Week 4 (study day 22 to 28)  0.964 
##  254      5    25  1.09         4 Week 4 (study day 22 to 28)  0.964 
##  255      5    26  0.794        4 Week 4 (study day 22 to 28)  0.964 
##  256      5    27  0.794        4 Week 4 (study day 22 to 28)  0.964 
##  257      5    28  0.794        4 Week 4 (study day 22 to 28)  0.964 
##  258      5    29  0.781        5 Week 5 (study day 29 to 35)  0.580 
##  259      5    30  0.625        5 Week 5 (study day 29 to 35)  0.580 
##  260      5    31  0.625        5 Week 5 (study day 29 to 35)  0.580 
##  261      5    32  0.625        5 Week 5 (study day 29 to 35)  0.580 
##  262      5    33  0.469        5 Week 5 (study day 29 to 35)  0.580 
##  263      5    34  0.469        5 Week 5 (study day 29 to 35)  0.580 
##  264      5    35  0.469        5 Week 5 (study day 29 to 35)  0.580 
##  265      5    36  0.469        6 Week 6 (study day 36 to 42)  0.413 
##  266      5    37  0.469        6 Week 6 (study day 36 to 42)  0.413 
##  267      5    38  0.391        6 Week 6 (study day 36 to 42)  0.413 
##  268      5    39  0.391        6 Week 6 (study day 36 to 42)  0.413 
##  269      5    40  0.391        6 Week 6 (study day 36 to 42)  0.413 
##  270      5    41  0.391        6 Week 6 (study day 36 to 42)  0.413 
##  271      5    42  0.391        6 Week 6 (study day 36 to 42)  0.413 
##  272      5    43  0.391        7 Week 7 (study day 43 to 49)  0.332 
##  273      5    44  0.391        7 Week 7 (study day 43 to 49)  0.332 
##  274      5    45  0.312        7 Week 7 (study day 43 to 49)  0.332 
##  275      5    46  0.312        7 Week 7 (study day 43 to 49)  0.332 
##  276      5    47  0.312        7 Week 7 (study day 43 to 49)  0.332 
##  277      5    48  0.303        7 Week 7 (study day 43 to 49)  0.332 
##  278      5    49  0.303        7 Week 7 (study day 43 to 49)  0.332 
##  279      5    50  0.303        8 Week 8 (study day 50 to 56)  0.249 
##  280      5    51  0.303        8 Week 8 (study day 50 to 56)  0.249 
##  281      5    52  0.227        8 Week 8 (study day 50 to 56)  0.249 
##  282      5    53  0.227        8 Week 8 (study day 50 to 56)  0.249 
##  283      5    54  0.227        8 Week 8 (study day 50 to 56)  0.249 
##  284      5    55  0.227        8 Week 8 (study day 50 to 56)  0.249 
##  285      5    56  0.227        8 Week 8 (study day 50 to 56)  0.249 
##  286      6     0 37.5          0 Baseline                    37.5   
##  287      6     1 17.9          1 Week 1 (study day 1 to 7)   15.3   
##  288      6     2 18.3          1 Week 1 (study day 1 to 7)   15.3   
##  289      6     3 11.7          1 Week 1 (study day 1 to 7)   15.3   
##  290      6     4 15            1 Week 1 (study day 1 to 7)   15.3   
##  291      6     5 18.3          1 Week 1 (study day 1 to 7)   15.3   
##  292      6     6 15            1 Week 1 (study day 1 to 7)   15.3   
##  293      6     7 11            1 Week 1 (study day 1 to 7)   15.3   
##  294      6     8 15            2 Week 2 (study day 8 to 14)   6.64  
##  295      6     9 13.3          2 Week 2 (study day 8 to 14)   6.64  
##  296      6    10  5            2 Week 2 (study day 8 to 14)   6.64  
##  297      6    11  2.75         2 Week 2 (study day 8 to 14)   6.64  
##  298      6    12  4.58         2 Week 2 (study day 8 to 14)   6.64  
##  299      6    13  3.33         2 Week 2 (study day 8 to 14)   6.64  
##  300      6    14  2.5          2 Week 2 (study day 8 to 14)   6.64  
##  301      6    15  2.5          3 Week 3 (study day 15 to 21)  2.5   
##  302      6    16  2.5          3 Week 3 (study day 15 to 21)  2.5   
##  303      6    17  2.5          3 Week 3 (study day 15 to 21)  2.5   
##  304      6    18  2.5          3 Week 3 (study day 15 to 21)  2.5   
##  305      6    19  2.5          3 Week 3 (study day 15 to 21)  2.5   
##  306      6    20  2.5          3 Week 3 (study day 15 to 21)  2.5   
##  307      6    21  2.5          3 Week 3 (study day 15 to 21)  2.5   
##  308      6    22  2.5          4 Week 4 (study day 22 to 28)  2.32  
##  309      6    23  2.5          4 Week 4 (study day 22 to 28)  2.32  
##  310      6    24  2.5          4 Week 4 (study day 22 to 28)  2.32  
##  311      6    25  2.5          4 Week 4 (study day 22 to 28)  2.32  
##  312      6    26  2.08         4 Week 4 (study day 22 to 28)  2.32  
##  313      6    27  2.08         4 Week 4 (study day 22 to 28)  2.32  
##  314      6    28  2.08         4 Week 4 (study day 22 to 28)  2.32  
##  315      6    29  1.88         5 Week 5 (study day 29 to 35)  1.73  
##  316      6    30  1.88         5 Week 5 (study day 29 to 35)  1.73  
##  317      6    31  1.88         5 Week 5 (study day 29 to 35)  1.73  
##  318      6    32  1.67         5 Week 5 (study day 29 to 35)  1.73  
##  319      6    33  1.67         5 Week 5 (study day 29 to 35)  1.73  
##  320      6    34  1.67         5 Week 5 (study day 29 to 35)  1.73  
##  321      6    35  1.46         5 Week 5 (study day 29 to 35)  1.73  
##  322      6    36  1.46         6 Week 6 (study day 36 to 42)  1.34  
##  323      6    37  1.46         6 Week 6 (study day 36 to 42)  1.34  
##  324      6    38  1.46         6 Week 6 (study day 36 to 42)  1.34  
##  325      6    39  1.25         6 Week 6 (study day 36 to 42)  1.34  
##  326      6    40  1.25         6 Week 6 (study day 36 to 42)  1.34  
##  327      6    41  1.25         6 Week 6 (study day 36 to 42)  1.34  
##  328      6    42  1.25         6 Week 6 (study day 36 to 42)  1.34  
##  329      6    43  1.45         7 Week 7 (study day 43 to 49)  1.18  
##  330      6    44  1.21         7 Week 7 (study day 43 to 49)  1.18  
##  331      6    45  1.21         7 Week 7 (study day 43 to 49)  1.18  
##  332      6    46  1.21         7 Week 7 (study day 43 to 49)  1.18  
##  333      6    47  1.21         7 Week 7 (study day 43 to 49)  1.18  
##  334      6    48  0.969        7 Week 7 (study day 43 to 49)  1.18  
##  335      6    49  0.969        7 Week 7 (study day 43 to 49)  1.18  
##  336      6    50  0.969        8 Week 8 (study day 50 to 56)  0.796 
##  337      6    51  0.969        8 Week 8 (study day 50 to 56)  0.796 
##  338      6    52  0.727        8 Week 8 (study day 50 to 56)  0.796 
##  339      6    53  0.727        8 Week 8 (study day 50 to 56)  0.796 
##  340      6    54  0.727        8 Week 8 (study day 50 to 56)  0.796 
##  341      6    55  0.727        8 Week 8 (study day 50 to 56)  0.796 
##  342      6    56  0.727        8 Week 8 (study day 50 to 56)  0.796 
##  343      7     0  6.34         0 Baseline                     6.34  
##  344      7     1  4.39         1 Week 1 (study day 1 to 7)    2.73  
##  345      7     2  3.90         1 Week 1 (study day 1 to 7)    2.73  
##  346      7     3  2.92         1 Week 1 (study day 1 to 7)    2.73  
##  347      7     4  2.44         1 Week 1 (study day 1 to 7)    2.73  
##  348      7     5  2.19         1 Week 1 (study day 1 to 7)    2.73  
##  349      7     6  1.83         1 Week 1 (study day 1 to 7)    2.73  
##  350      7     7  1.46         1 Week 1 (study day 1 to 7)    2.73  
##  351      7     8  1.46         2 Week 2 (study day 8 to 14)   1.36  
##  352      7     9  1.46         2 Week 2 (study day 8 to 14)   1.36  
##  353      7    10  1.46         2 Week 2 (study day 8 to 14)   1.36  
##  354      7    11  1.46         2 Week 2 (study day 8 to 14)   1.36  
##  355      7    12  1.22         2 Week 2 (study day 8 to 14)   1.36  
##  356      7    13  1.22         2 Week 2 (study day 8 to 14)   1.36  
##  357      7    14  1.22         2 Week 2 (study day 8 to 14)   1.36  
##  358      7    15  1.22         3 Week 3 (study day 15 to 21)  1.13  
##  359      7    16  1.22         3 Week 3 (study day 15 to 21)  1.13  
##  360      7    17  1.22         3 Week 3 (study day 15 to 21)  1.13  
##  361      7    18  1.22         3 Week 3 (study day 15 to 21)  1.13  
##  362      7    19  1.12         3 Week 3 (study day 15 to 21)  1.13  
##  363      7    20  0.975        3 Week 3 (study day 15 to 21)  1.13  
##  364      7    21  0.975        3 Week 3 (study day 15 to 21)  1.13  
##  365      7    22  0.780        4 Week 4 (study day 22 to 28)  0.696 
##  366      7    23  0.780        4 Week 4 (study day 22 to 28)  0.696 
##  367      7    24  0.780        4 Week 4 (study day 22 to 28)  0.696 
##  368      7    25  0.780        4 Week 4 (study day 22 to 28)  0.696 
##  369      7    26  0.585        4 Week 4 (study day 22 to 28)  0.696 
##  370      7    27  0.585        4 Week 4 (study day 22 to 28)  0.696 
##  371      7    28  0.585        4 Week 4 (study day 22 to 28)  0.696 
##  372      7    29  0.585        5 Week 5 (study day 29 to 35)  0.501 
##  373      7    30  0.487        5 Week 5 (study day 29 to 35)  0.501 
##  374      7    31  0.487        5 Week 5 (study day 29 to 35)  0.501 
##  375      7    32  0.487        5 Week 5 (study day 29 to 35)  0.501 
##  376      7    33  0.487        5 Week 5 (study day 29 to 35)  0.501 
##  377      7    34  0.487        5 Week 5 (study day 29 to 35)  0.501 
##  378      7    35  0.487        5 Week 5 (study day 29 to 35)  0.501 
##  379      7    36  0.487        6 Week 6 (study day 36 to 42)  0.459 
##  380      7    37  0.487        6 Week 6 (study day 36 to 42)  0.459 
##  381      7    38  0.487        6 Week 6 (study day 36 to 42)  0.459 
##  382      7    39  0.487        6 Week 6 (study day 36 to 42)  0.459 
##  383      7    40  0.487        6 Week 6 (study day 36 to 42)  0.459 
##  384      7    41  0.390        6 Week 6 (study day 36 to 42)  0.459 
##  385      7    42  0.390        6 Week 6 (study day 36 to 42)  0.459 
##  386      7    43  0.390        7 Week 7 (study day 43 to 49)  0.376 
##  387      7    44  0.390        7 Week 7 (study day 43 to 49)  0.376 
##  388      7    45  0.390        7 Week 7 (study day 43 to 49)  0.376 
##  389      7    46  0.390        7 Week 7 (study day 43 to 49)  0.376 
##  390      7    47  0.390        7 Week 7 (study day 43 to 49)  0.376 
##  391      7    48  0.390        7 Week 7 (study day 43 to 49)  0.376 
##  392      7    49  0.292        7 Week 7 (study day 43 to 49)  0.376 
##  393      7    50  0.292        8 Week 8 (study day 50 to 56)  0.292 
##  394      7    51  0.292        8 Week 8 (study day 50 to 56)  0.292 
##  395      7    52  0.292        8 Week 8 (study day 50 to 56)  0.292 
##  396      7    53  0.292        8 Week 8 (study day 50 to 56)  0.292 
##  397      7    54  0.292        8 Week 8 (study day 50 to 56)  0.292 
##  398      7    55  0.292        8 Week 8 (study day 50 to 56)  0.292 
##  399      7    56  0.292        8 Week 8 (study day 50 to 56)  0.292 
##  400      8     0  1.82         0 Baseline                     1.82  
##  401      8     1  1.45         1 Week 1 (study day 1 to 7)    0.851 
##  402      8     2  1.27         1 Week 1 (study day 1 to 7)    0.851 
##  403      8     3  1.09         1 Week 1 (study day 1 to 7)    0.851 
##  404      8     4  0.727        1 Week 1 (study day 1 to 7)    0.851 
##  405      8     5  0.545        1 Week 1 (study day 1 to 7)    0.851 
##  406      8     6  0.436        1 Week 1 (study day 1 to 7)    0.851 
##  407      8     7  0.436        1 Week 1 (study day 1 to 7)    0.851 
##  408      8     8  0.436        2 Week 2 (study day 8 to 14)   0.426 
##  409      8     9  0.436        2 Week 2 (study day 8 to 14)   0.426 
##  410      8    10  0.436        2 Week 2 (study day 8 to 14)   0.426 
##  411      8    11  0.436        2 Week 2 (study day 8 to 14)   0.426 
##  412      8    12  0.436        2 Week 2 (study day 8 to 14)   0.426 
##  413      8    13  0.436        2 Week 2 (study day 8 to 14)   0.426 
##  414      8    14  0.363        2 Week 2 (study day 8 to 14)   0.426 
##  415      8    15  0.363        3 Week 3 (study day 15 to 21)  0.369 
##  416      8    16  0.368        3 Week 3 (study day 15 to 21)  0.369 
##  417      8    17  0.368        3 Week 3 (study day 15 to 21)  0.369 
##  418      8    18  0.368        3 Week 3 (study day 15 to 21)  0.369 
##  419      8    19  0.368        3 Week 3 (study day 15 to 21)  0.369 
##  420      8    20  0.368        3 Week 3 (study day 15 to 21)  0.369 
##  421      8    21  0.383        3 Week 3 (study day 15 to 21)  0.369 
##  422      8    22  0.383        4 Week 4 (study day 22 to 28)  0.314 
##  423      8    23  0.307        4 Week 4 (study day 22 to 28)  0.314 
##  424      8    24  0.303        4 Week 4 (study day 22 to 28)  0.314 
##  425      8    25  0.303        4 Week 4 (study day 22 to 28)  0.314 
##  426      8    26  0.303        4 Week 4 (study day 22 to 28)  0.314 
##  427      8    27  0.303        4 Week 4 (study day 22 to 28)  0.314 
##  428      8    28  0.297        4 Week 4 (study day 22 to 28)  0.314 
##  429      8    29  0.297        5 Week 5 (study day 29 to 35)  0.297 
##  430      8    30  0.297        5 Week 5 (study day 29 to 35)  0.297 
##  431      8    31  0.297        5 Week 5 (study day 29 to 35)  0.297 
##  432      8    32  0.297        5 Week 5 (study day 29 to 35)  0.297 
##  433      8    33  0.297        5 Week 5 (study day 29 to 35)  0.297 
##  434      8    34  0.297        5 Week 5 (study day 29 to 35)  0.297 
##  435      8    35  0.294        5 Week 5 (study day 29 to 35)  0.297 
##  436      8    36  0.294        6 Week 6 (study day 36 to 42)  0.294 
##  437      8    37  0.294        6 Week 6 (study day 36 to 42)  0.294 
##  438      8    38  0.294        6 Week 6 (study day 36 to 42)  0.294 
##  439      8    39  0.294        6 Week 6 (study day 36 to 42)  0.294 
##  440      8    40  0.294        6 Week 6 (study day 36 to 42)  0.294 
##  441      8    41  0.294        6 Week 6 (study day 36 to 42)  0.294 
##  442      8    42  0.296        6 Week 6 (study day 36 to 42)  0.294 
##  443      8    43  0.296        7 Week 7 (study day 43 to 49)  0.269 
##  444      8    44  0.296        7 Week 7 (study day 43 to 49)  0.269 
##  445      8    45  0.259        7 Week 7 (study day 43 to 49)  0.269 
##  446      8    46  0.259        7 Week 7 (study day 43 to 49)  0.269 
##  447      8    47  0.259        7 Week 7 (study day 43 to 49)  0.269 
##  448      8    48  0.257        7 Week 7 (study day 43 to 49)  0.269 
##  449      8    49  0.257        7 Week 7 (study day 43 to 49)  0.269 
##  450      8    50  0.257        8 Week 8 (study day 50 to 56)  0.255 
##  451      8    51  0.257        8 Week 8 (study day 50 to 56)  0.255 
##  452      8    52  0.257        8 Week 8 (study day 50 to 56)  0.255 
##  453      8    53  0.257        8 Week 8 (study day 50 to 56)  0.255 
##  454      8    54  0.257        8 Week 8 (study day 50 to 56)  0.255 
##  455      8    55  0.252        8 Week 8 (study day 50 to 56)  0.255 
##  456      8    56  0.252        8 Week 8 (study day 50 to 56)  0.255 
##  457      9     0 36.4          0 Baseline                    36.4   
##  458      9     1 36.4          1 Week 1 (study day 1 to 7)    6.86  
##  459      9     2  1.94         1 Week 1 (study day 1 to 7)    6.86  
##  460      9     3  1.94         1 Week 1 (study day 1 to 7)    6.86  
##  461      9     4  1.94         1 Week 1 (study day 1 to 7)    6.86  
##  462      9     5  1.94         1 Week 1 (study day 1 to 7)    6.86  
##  463      9     6  1.91         1 Week 1 (study day 1 to 7)    6.86  
##  464      9     7  1.91         1 Week 1 (study day 1 to 7)    6.86  
##  465      9     8  1.91         2 Week 2 (study day 8 to 14)   1.88  
##  466      9     9  1.94         2 Week 2 (study day 8 to 14)   1.88  
##  467      9    10  1.94         2 Week 2 (study day 8 to 14)   1.88  
##  468      9    11  1.94         2 Week 2 (study day 8 to 14)   1.88  
##  469      9    12  1.80         2 Week 2 (study day 8 to 14)   1.88  
##  470      9    13  1.80         2 Week 2 (study day 8 to 14)   1.88  
##  471      9    14  1.80         2 Week 2 (study day 8 to 14)   1.88  
##  472      9    15  1.79         3 Week 3 (study day 15 to 21)  1.70  
##  473      9    16  1.79         3 Week 3 (study day 15 to 21)  1.70  
##  474      9    17  1.79         3 Week 3 (study day 15 to 21)  1.70  
##  475      9    18  1.63         3 Week 3 (study day 15 to 21)  1.70  
##  476      9    19  1.63         3 Week 3 (study day 15 to 21)  1.70  
##  477      9    20  1.63         3 Week 3 (study day 15 to 21)  1.70  
##  478      9    21  1.64         3 Week 3 (study day 15 to 21)  1.70  
##  479      9    22  1.64         4 Week 4 (study day 22 to 28)  1.60  
##  480      9    23  1.64         4 Week 4 (study day 22 to 28)  1.60  
##  481      9    24  1.64         4 Week 4 (study day 22 to 28)  1.60  
##  482      9    25  1.55         4 Week 4 (study day 22 to 28)  1.60  
##  483      9    26  1.55         4 Week 4 (study day 22 to 28)  1.60  
##  484      9    27  1.55         4 Week 4 (study day 22 to 28)  1.60  
##  485      9    28  1.63         4 Week 4 (study day 22 to 28)  1.60  
##  486      9    29  1.63         5 Week 5 (study day 29 to 35)  1.56  
##  487      9    30  1.63         5 Week 5 (study day 29 to 35)  1.56  
##  488      9    31  1.63         5 Week 5 (study day 29 to 35)  1.56  
##  489      9    32  1.63         5 Week 5 (study day 29 to 35)  1.56  
##  490      9    33  1.48         5 Week 5 (study day 29 to 35)  1.56  
##  491      9    34  1.48         5 Week 5 (study day 29 to 35)  1.56  
##  492      9    35  1.48         5 Week 5 (study day 29 to 35)  1.56  
##  493      9    36  1.39         6 Week 6 (study day 36 to 42)  1.39  
##  494      9    37  1.39         6 Week 6 (study day 36 to 42)  1.39  
##  495      9    38  1.39         6 Week 6 (study day 36 to 42)  1.39  
##  496      9    39  1.39         6 Week 6 (study day 36 to 42)  1.39  
##  497      9    40  1.39         6 Week 6 (study day 36 to 42)  1.39  
##  498      9    41  1.39         6 Week 6 (study day 36 to 42)  1.39  
##  499      9    42  1.39         6 Week 6 (study day 36 to 42)  1.39  
##  500      9    43  1.39         7 Week 7 (study day 43 to 49)  1.27  
##  501      9    44  1.39         7 Week 7 (study day 43 to 49)  1.27  
##  502      9    45  1.25         7 Week 7 (study day 43 to 49)  1.27  
##  503      9    46  1.25         7 Week 7 (study day 43 to 49)  1.27  
##  504      9    47  1.20         7 Week 7 (study day 43 to 49)  1.27  
##  505      9    48  1.20         7 Week 7 (study day 43 to 49)  1.27  
##  506      9    49  1.20         7 Week 7 (study day 43 to 49)  1.27  
##  507      9    50  1.20         8 Week 8 (study day 50 to 56)  1.08  
##  508      9    51  1.06         8 Week 8 (study day 50 to 56)  1.08  
##  509      9    52  1.06         8 Week 8 (study day 50 to 56)  1.08  
##  510      9    53  1.06         8 Week 8 (study day 50 to 56)  1.08  
##  511      9    54  1.05         8 Week 8 (study day 50 to 56)  1.08  
##  512      9    55  1.05         8 Week 8 (study day 50 to 56)  1.08  
##  513      9    56  1.05         8 Week 8 (study day 50 to 56)  1.08  
##  514     10     0  2.15         0 Baseline                     2.15  
##  515     10     1  2.15         1 Week 1 (study day 1 to 7)   16.5   
##  516     10     2  2.15         1 Week 1 (study day 1 to 7)   16.5   
##  517     10     3  2.15         1 Week 1 (study day 1 to 7)   16.5   
##  518     10     4  2.15         1 Week 1 (study day 1 to 7)   16.5   
##  519     10     5 36.3          1 Week 1 (study day 1 to 7)   16.5   
##  520     10     6 35.2          1 Week 1 (study day 1 to 7)   16.5   
##  521     10     7 35.2          1 Week 1 (study day 1 to 7)   16.5   
##  522     10     8  2.07         2 Week 2 (study day 8 to 14)   2.19  
##  523     10     9  2.07         2 Week 2 (study day 8 to 14)   2.19  
##  524     10    10  2.33         2 Week 2 (study day 8 to 14)   2.19  
##  525     10    11  2.10         2 Week 2 (study day 8 to 14)   2.19  
##  526     10    12  2.19         2 Week 2 (study day 8 to 14)   2.19  
##  527     10    13  2.29         2 Week 2 (study day 8 to 14)   2.19  
##  528     10    14  2.29         2 Week 2 (study day 8 to 14)   2.19  
##  529     10    15  2.29         3 Week 3 (study day 15 to 21)  1.47  
##  530     10    16  2.29         3 Week 3 (study day 15 to 21)  1.47  
##  531     10    17  1.15         3 Week 3 (study day 15 to 21)  1.47  
##  532     10    18  1.15         3 Week 3 (study day 15 to 21)  1.47  
##  533     10    19  1.15         3 Week 3 (study day 15 to 21)  1.47  
##  534     10    20  1.15         3 Week 3 (study day 15 to 21)  1.47  
##  535     10    21  1.15         3 Week 3 (study day 15 to 21)  1.47  
##  536     10    22  1.15         4 Week 4 (study day 22 to 28)  1.13  
##  537     10    23  1.13         4 Week 4 (study day 22 to 28)  1.13  
##  538     10    24  1.13         4 Week 4 (study day 22 to 28)  1.13  
##  539     10    25  1.13         4 Week 4 (study day 22 to 28)  1.13  
##  540     10    26  1.13         4 Week 4 (study day 22 to 28)  1.13  
##  541     10    27  1.13         4 Week 4 (study day 22 to 28)  1.13  
##  542     10    28  1.13         4 Week 4 (study day 22 to 28)  1.13  
##  543     10    29  1.13         5 Week 5 (study day 29 to 35)  1.12  
##  544     10    30  1.12         5 Week 5 (study day 29 to 35)  1.12  
##  545     10    31  1.12         5 Week 5 (study day 29 to 35)  1.12  
##  546     10    32  1.12         5 Week 5 (study day 29 to 35)  1.12  
##  547     10    33  1.12         5 Week 5 (study day 29 to 35)  1.12  
##  548     10    34  1.12         5 Week 5 (study day 29 to 35)  1.12  
##  549     10    35  1.12         5 Week 5 (study day 29 to 35)  1.12  
##  550     10    36  1.12         6 Week 6 (study day 36 to 42)  1.11  
##  551     10    37  1.12         6 Week 6 (study day 36 to 42)  1.11  
##  552     10    38  1.12         6 Week 6 (study day 36 to 42)  1.11  
##  553     10    39  1.10         6 Week 6 (study day 36 to 42)  1.11  
##  554     10    40  1.10         6 Week 6 (study day 36 to 42)  1.11  
##  555     10    41  1.10         6 Week 6 (study day 36 to 42)  1.11  
##  556     10    42  1.10         6 Week 6 (study day 36 to 42)  1.11  
##  557     10    43  1.10         7 Week 7 (study day 43 to 49)  0.786 
##  558     10    44  0.735        7 Week 7 (study day 43 to 49)  0.786 
##  559     10    45  0.735        7 Week 7 (study day 43 to 49)  0.786 
##  560     10    46  0.735        7 Week 7 (study day 43 to 49)  0.786 
##  561     10    47  0.735        7 Week 7 (study day 43 to 49)  0.786 
##  562     10    48  0.735        7 Week 7 (study day 43 to 49)  0.786 
##  563     10    49  0.719        7 Week 7 (study day 43 to 49)  0.786 
##  564     10    50  0.719        8 Week 8 (study day 50 to 56)  0.462 
##  565     10    51  0.719        8 Week 8 (study day 50 to 56)  0.462 
##  566     10    52  0.360        8 Week 8 (study day 50 to 56)  0.462 
##  567     10    53  0.360        8 Week 8 (study day 50 to 56)  0.462 
##  568     10    54  0.360        8 Week 8 (study day 50 to 56)  0.462 
##  569     10    55  0.360        8 Week 8 (study day 50 to 56)  0.462 
##  570     10    56  0.360        8 Week 8 (study day 50 to 56)  0.462 
##  571     11     0 25            0 Baseline                    25     
##  572     11     1 24.6          1 Week 1 (study day 1 to 7)   12.0   
##  573     11     2  1.48         1 Week 1 (study day 1 to 7)   12.0   
##  574     11     3  1.56         1 Week 1 (study day 1 to 7)   12.0   
##  575     11     4  1.56         1 Week 1 (study day 1 to 7)   12.0   
##  576     11     5 25.9          1 Week 1 (study day 1 to 7)   12.0   
##  577     11     6 26.0          1 Week 1 (study day 1 to 7)   12.0   
##  578     11     7  3.12         1 Week 1 (study day 1 to 7)   12.0   
##  579     11     8  3.12         2 Week 2 (study day 8 to 14)   3.21  
##  580     11     9  3.22         2 Week 2 (study day 8 to 14)   3.21  
##  581     11    10  3.22         2 Week 2 (study day 8 to 14)   3.21  
##  582     11    11  3.22         2 Week 2 (study day 8 to 14)   3.21  
##  583     11    12  3.22         2 Week 2 (study day 8 to 14)   3.21  
##  584     11    13  3.22         2 Week 2 (study day 8 to 14)   3.21  
##  585     11    14  3.22         2 Week 2 (study day 8 to 14)   3.21  
##  586     11    15  3.14         3 Week 3 (study day 15 to 21)  2.91  
##  587     11    16  3.14         3 Week 3 (study day 15 to 21)  2.91  
##  588     11    17  3.14         3 Week 3 (study day 15 to 21)  2.91  
##  589     11    18  3.14         3 Week 3 (study day 15 to 21)  2.91  
##  590     11    19  3.14         3 Week 3 (study day 15 to 21)  2.91  
##  591     11    20  2.35         3 Week 3 (study day 15 to 21)  2.91  
##  592     11    21  2.35         3 Week 3 (study day 15 to 21)  2.91  
##  593     11    22  2.35         4 Week 4 (study day 22 to 28)  1.52  
##  594     11    23  1.57         4 Week 4 (study day 22 to 28)  1.52  
##  595     11    24  1.57         4 Week 4 (study day 22 to 28)  1.52  
##  596     11    25  1.52         4 Week 4 (study day 22 to 28)  1.52  
##  597     11    26  1.21         4 Week 4 (study day 22 to 28)  1.52  
##  598     11    27  1.21         4 Week 4 (study day 22 to 28)  1.52  
##  599     11    28  1.20         4 Week 4 (study day 22 to 28)  1.52  
##  600     11    29  1.20         5 Week 5 (study day 29 to 35)  0.985 
##  601     11    30  0.996        5 Week 5 (study day 29 to 35)  0.985 
##  602     11    31  0.996        5 Week 5 (study day 29 to 35)  0.985 
##  603     11    32  0.977        5 Week 5 (study day 29 to 35)  0.985 
##  604     11    33  0.977        5 Week 5 (study day 29 to 35)  0.985 
##  605     11    34  0.977        5 Week 5 (study day 29 to 35)  0.985 
##  606     11    35  0.781        5 Week 5 (study day 29 to 35)  0.985 
##  607     11    36  0.781        6 Week 6 (study day 36 to 42)  0.736 
##  608     11    37  0.781        6 Week 6 (study day 36 to 42)  0.736 
##  609     11    38  0.756        6 Week 6 (study day 36 to 42)  0.736 
##  610     11    39  0.756        6 Week 6 (study day 36 to 42)  0.736 
##  611     11    40  0.756        6 Week 6 (study day 36 to 42)  0.736 
##  612     11    41  0.756        6 Week 6 (study day 36 to 42)  0.736 
##  613     11    42  0.567        6 Week 6 (study day 36 to 42)  0.736 
##  614     11    43  0.567        7 Week 7 (study day 43 to 49)  0.557 
##  615     11    44  0.567        7 Week 7 (study day 43 to 49)  0.557 
##  616     11    45  0.554        7 Week 7 (study day 43 to 49)  0.557 
##  617     11    46  0.554        7 Week 7 (study day 43 to 49)  0.557 
##  618     11    47  0.554        7 Week 7 (study day 43 to 49)  0.557 
##  619     11    48  0.554        7 Week 7 (study day 43 to 49)  0.557 
##  620     11    49  0.554        7 Week 7 (study day 43 to 49)  0.557 
##  621     11    50  0.554        8 Week 8 (study day 50 to 56)  0.511 
##  622     11    51  0.545        8 Week 8 (study day 50 to 56)  0.511 
##  623     11    52  0.545        8 Week 8 (study day 50 to 56)  0.511 
##  624     11    53  0.545        8 Week 8 (study day 50 to 56)  0.511 
##  625     11    54  0.364        8 Week 8 (study day 50 to 56)  0.511 
##  626     12     0 35.4          0 Baseline                    35.4   
##  627     12     1 37.5          1 Week 1 (study day 1 to 7)   16.5   
##  628     12     2 37.5          1 Week 1 (study day 1 to 7)   16.5   
##  629     12     3 20.3          1 Week 1 (study day 1 to 7)   16.5   
##  630     12     4  4.05         1 Week 1 (study day 1 to 7)   16.5   
##  631     12     5  5.41         1 Week 1 (study day 1 to 7)   16.5   
##  632     12     6  5.36         1 Week 1 (study day 1 to 7)   16.5   
##  633     12     7  5.36         1 Week 1 (study day 1 to 7)   16.5   
##  634     12     8  2.68         2 Week 2 (study day 8 to 14)   2.26  
##  635     12     9  2.52         2 Week 2 (study day 8 to 14)   2.26  
##  636     12    10  2.52         2 Week 2 (study day 8 to 14)   2.26  
##  637     12    11  2.52         2 Week 2 (study day 8 to 14)   2.26  
##  638     12    12  2.54         2 Week 2 (study day 8 to 14)   2.26  
##  639     12    13  1.27         2 Week 2 (study day 8 to 14)   2.26  
##  640     12    14  1.78         2 Week 2 (study day 8 to 14)   2.26  
##  641     12    15  1.68         3 Week 3 (study day 15 to 21)  1.39  
##  642     12    16  1.44         3 Week 3 (study day 15 to 21)  1.39  
##  643     12    17  1.44         3 Week 3 (study day 15 to 21)  1.39  
##  644     12    18  1.44         3 Week 3 (study day 15 to 21)  1.39  
##  645     12    19  1.40         3 Week 3 (study day 15 to 21)  1.39  
##  646     12    20  1.16         3 Week 3 (study day 15 to 21)  1.39  
##  647     12    21  1.16         3 Week 3 (study day 15 to 21)  1.39  
##  648     12    22  1.19         4 Week 4 (study day 22 to 28)  1.12  
##  649     12    23  1.90         4 Week 4 (study day 22 to 28)  1.12  
##  650     12    24  0.952        4 Week 4 (study day 22 to 28)  1.12  
##  651     12    25  0.945        4 Week 4 (study day 22 to 28)  1.12  
##  652     12    26  0.945        4 Week 4 (study day 22 to 28)  1.12  
##  653     12    27  0.945        4 Week 4 (study day 22 to 28)  1.12  
##  654     12    28  0.976        4 Week 4 (study day 22 to 28)  1.12  
##  655     12    29  0.976        5 Week 5 (study day 29 to 35)  0.976 
##  656     12    30  0.976        5 Week 5 (study day 29 to 35)  0.976 
##  657     12    31  0.976        5 Week 5 (study day 29 to 35)  0.976 
##  658     12    32  0.976        5 Week 5 (study day 29 to 35)  0.976 
##  659     12    33  0.976        5 Week 5 (study day 29 to 35)  0.976 
##  660     12    34  0.976        5 Week 5 (study day 29 to 35)  0.976 
##  661     12    35  0.976        5 Week 5 (study day 29 to 35)  0.976 
##  662     12    36  0.96         6 Week 6 (study day 36 to 42)  0.96  
##  663     12    37  0.96         6 Week 6 (study day 36 to 42)  0.96  
##  664     12    38  0.96         6 Week 6 (study day 36 to 42)  0.96  
##  665     12    39  0.96         6 Week 6 (study day 36 to 42)  0.96  
##  666     12    40  0.96         6 Week 6 (study day 36 to 42)  0.96  
##  667     12    41  0.96         6 Week 6 (study day 36 to 42)  0.96  
##  668     12    42  0.96         6 Week 6 (study day 36 to 42)  0.96  
##  669     12    43  0.96         7 Week 7 (study day 43 to 49)  0.96  
##  670     12    44  0.96         7 Week 7 (study day 43 to 49)  0.96  
##  671     12    45  0.96         7 Week 7 (study day 43 to 49)  0.96  
##  672     12    46  0.96         7 Week 7 (study day 43 to 49)  0.96  
##  673     12    47  0.96         7 Week 7 (study day 43 to 49)  0.96  
##  674     12    48  0.96         7 Week 7 (study day 43 to 49)  0.96  
##  675     12    49  0.96         7 Week 7 (study day 43 to 49)  0.96  
##  676     12    50  0.96         8 Week 8 (study day 50 to 56)  0.96  
##  677     12    51  0.96         8 Week 8 (study day 50 to 56)  0.96  
##  678     12    52  0.96         8 Week 8 (study day 50 to 56)  0.96  
##  679     12    53  0.96         8 Week 8 (study day 50 to 56)  0.96  
##  680     12    54  0.96         8 Week 8 (study day 50 to 56)  0.96  
##  681     12    55  0.96         8 Week 8 (study day 50 to 56)  0.96  
##  682     12    56  0.96         8 Week 8 (study day 50 to 56)  0.96  
##  683     13     0  2.23         0 Baseline                     2.23  
##  684     13     1  2.27         1 Week 1 (study day 1 to 7)    2.32  
##  685     13     2  2.27         1 Week 1 (study day 1 to 7)    2.32  
##  686     13     3  2.30         1 Week 1 (study day 1 to 7)    2.32  
##  687     13     4  2.30         1 Week 1 (study day 1 to 7)    2.32  
##  688     13     5  2.30         1 Week 1 (study day 1 to 7)    2.32  
##  689     13     6  2.39         1 Week 1 (study day 1 to 7)    2.32  
##  690     13     7  2.39         1 Week 1 (study day 1 to 7)    2.32  
##  691     13     8  2.39         2 Week 2 (study day 8 to 14)   2.37  
##  692     13     9  2.38         2 Week 2 (study day 8 to 14)   2.37  
##  693     13    10  2.38         2 Week 2 (study day 8 to 14)   2.37  
##  694     13    11  2.38         2 Week 2 (study day 8 to 14)   2.37  
##  695     13    12  2.35         2 Week 2 (study day 8 to 14)   2.37  
##  696     13    13  2.35         2 Week 2 (study day 8 to 14)   2.37  
##  697     13    14  2.35         2 Week 2 (study day 8 to 14)   2.37  
##  698     13    15  2.37         3 Week 3 (study day 15 to 21)  2.25  
##  699     13    16  4.27         3 Week 3 (study day 15 to 21)  2.25  
##  700     13    17  1.90         3 Week 3 (study day 15 to 21)  2.25  
##  701     13    18  1.81         3 Week 3 (study day 15 to 21)  2.25  
##  702     13    19  1.81         3 Week 3 (study day 15 to 21)  2.25  
##  703     13    20  1.81         3 Week 3 (study day 15 to 21)  2.25  
##  704     13    21  1.78         3 Week 3 (study day 15 to 21)  2.25  
##  705     13    22  1.78         4 Week 4 (study day 22 to 28)  1.41  
##  706     13    23  1.67         4 Week 4 (study day 22 to 28)  1.41  
##  707     13    24  1.65         4 Week 4 (study day 22 to 28)  1.41  
##  708     13    25  1.54         4 Week 4 (study day 22 to 28)  1.41  
##  709     13    26  1.10         4 Week 4 (study day 22 to 28)  1.41  
##  710     13    27  1.10         4 Week 4 (study day 22 to 28)  1.41  
##  711     13    28  1.05         4 Week 4 (study day 22 to 28)  1.41  
##  712     13    29  1.05         5 Week 5 (study day 29 to 35)  1.03  
##  713     13    30  1.05         5 Week 5 (study day 29 to 35)  1.03  
##  714     13    31  1.05         5 Week 5 (study day 29 to 35)  1.03  
##  715     13    32  1.05         5 Week 5 (study day 29 to 35)  1.03  
##  716     13    33  1.05         5 Week 5 (study day 29 to 35)  1.03  
##  717     13    34  0.990        5 Week 5 (study day 29 to 35)  1.03  
##  718     13    35  0.990        5 Week 5 (study day 29 to 35)  1.03  
##  719     13    36  0.990        6 Week 6 (study day 36 to 42)  0.983 
##  720     13    37  0.990        6 Week 6 (study day 36 to 42)  0.983 
##  721     13    38  0.990        6 Week 6 (study day 36 to 42)  0.983 
##  722     13    39  0.990        6 Week 6 (study day 36 to 42)  0.983 
##  723     13    40  0.990        6 Week 6 (study day 36 to 42)  0.983 
##  724     13    41  0.965        6 Week 6 (study day 36 to 42)  0.983 
##  725     13    42  0.965        6 Week 6 (study day 36 to 42)  0.983 
##  726     13    43  0.772        7 Week 7 (study day 43 to 49)  0.775 
##  727     13    44  0.772        7 Week 7 (study day 43 to 49)  0.775 
##  728     13    45  0.772        7 Week 7 (study day 43 to 49)  0.775 
##  729     13    46  0.772        7 Week 7 (study day 43 to 49)  0.775 
##  730     13    47  0.772        7 Week 7 (study day 43 to 49)  0.775 
##  731     13    48  0.781        7 Week 7 (study day 43 to 49)  0.775 
##  732     13    49  0.781        7 Week 7 (study day 43 to 49)  0.775 
##  733     13    50  0.781        8 Week 8 (study day 50 to 56)  0.606 
##  734     13    51  0.586        8 Week 8 (study day 50 to 56)  0.606 
##  735     13    52  0.586        8 Week 8 (study day 50 to 56)  0.606 
##  736     13    53  0.586        8 Week 8 (study day 50 to 56)  0.606 
##  737     13    54  0.586        8 Week 8 (study day 50 to 56)  0.606 
##  738     13    55  0.559        8 Week 8 (study day 50 to 56)  0.606 
##  739     13    56  0.559        8 Week 8 (study day 50 to 56)  0.606 
##  740     14     0  2.48         0 Baseline                     2.48  
##  741     14     1  4.90         1 Week 1 (study day 1 to 7)    5.00  
##  742     14     2  4.90         1 Week 1 (study day 1 to 7)    5.00  
##  743     14     3  5.04         1 Week 1 (study day 1 to 7)    5.00  
##  744     14     4  5.04         1 Week 1 (study day 1 to 7)    5.00  
##  745     14     5  5.04         1 Week 1 (study day 1 to 7)    5.00  
##  746     14     6  5.09         1 Week 1 (study day 1 to 7)    5.00  
##  747     14     7  5            1 Week 1 (study day 1 to 7)    5.00  
##  748     14     8  5            2 Week 2 (study day 8 to 14)   4.19  
##  749     14     9  4.86         2 Week 2 (study day 8 to 14)   4.19  
##  750     14    10  4.86         2 Week 2 (study day 8 to 14)   4.19  
##  751     14    11  4.75         2 Week 2 (study day 8 to 14)   4.19  
##  752     14    12  2.85         2 Week 2 (study day 8 to 14)   4.19  
##  753     14    13  3.91         2 Week 2 (study day 8 to 14)   4.19  
##  754     14    14  3.10         2 Week 2 (study day 8 to 14)   4.19  
##  755     14    15  3.20         3 Week 3 (study day 15 to 21)  2.67  
##  756     14    16  2.82         3 Week 3 (study day 15 to 21)  2.67  
##  757     14    17  2.82         3 Week 3 (study day 15 to 21)  2.67  
##  758     14    18  2.98         3 Week 3 (study day 15 to 21)  2.67  
##  759     14    19  2.58         3 Week 3 (study day 15 to 21)  2.67  
##  760     14    20  2.29         3 Week 3 (study day 15 to 21)  2.67  
##  761     14    21  2            3 Week 3 (study day 15 to 21)  2.67  
##  762     14    22  1.63         4 Week 4 (study day 22 to 28)  1.38  
##  763     14    23  1.48         4 Week 4 (study day 22 to 28)  1.38  
##  764     14    24  1.48         4 Week 4 (study day 22 to 28)  1.38  
##  765     14    25  1.28         4 Week 4 (study day 22 to 28)  1.38  
##  766     14    26  1.28         4 Week 4 (study day 22 to 28)  1.38  
##  767     14    27  1.28         4 Week 4 (study day 22 to 28)  1.38  
##  768     14    28  1.28         4 Week 4 (study day 22 to 28)  1.38  
##  769     14    29  1.26         5 Week 5 (study day 29 to 35)  1.27  
##  770     14    30  1.26         5 Week 5 (study day 29 to 35)  1.27  
##  771     14    31  1.26         5 Week 5 (study day 29 to 35)  1.27  
##  772     14    32  1.26         5 Week 5 (study day 29 to 35)  1.27  
##  773     14    33  1.26         5 Week 5 (study day 29 to 35)  1.27  
##  774     14    34  1.30         5 Week 5 (study day 29 to 35)  1.27  
##  775     14    35  1.30         5 Week 5 (study day 29 to 35)  1.27  
##  776     14    36  1.30         6 Week 6 (study day 36 to 42)  1.29  
##  777     14    37  1.30         6 Week 6 (study day 36 to 42)  1.29  
##  778     14    38  1.30         6 Week 6 (study day 36 to 42)  1.29  
##  779     14    39  1.30         6 Week 6 (study day 36 to 42)  1.29  
##  780     14    40  1.30         6 Week 6 (study day 36 to 42)  1.29  
##  781     14    41  1.27         6 Week 6 (study day 36 to 42)  1.29  
##  782     14    42  1.27         6 Week 6 (study day 36 to 42)  1.29  
##  783     14    43  1.27         7 Week 7 (study day 43 to 49)  1.27  
##  784     14    44  1.27         7 Week 7 (study day 43 to 49)  1.27  
##  785     14    45  1.27         7 Week 7 (study day 43 to 49)  1.27  
##  786     14    46  1.27         7 Week 7 (study day 43 to 49)  1.27  
##  787     14    47  1.27         7 Week 7 (study day 43 to 49)  1.27  
##  788     14    48  1.27         7 Week 7 (study day 43 to 49)  1.27  
##  789     14    49  1.27         7 Week 7 (study day 43 to 49)  1.27  
##  790     14    50  1.27         8 Week 8 (study day 50 to 56)  1.34  
##  791     14    51  1.27         8 Week 8 (study day 50 to 56)  1.34  
##  792     14    52  1.36         8 Week 8 (study day 50 to 56)  1.34  
##  793     14    53  1.36         8 Week 8 (study day 50 to 56)  1.34  
##  794     14    54  1.36         8 Week 8 (study day 50 to 56)  1.34  
##  795     14    55  1.36         8 Week 8 (study day 50 to 56)  1.34  
##  796     14    56  1.36         8 Week 8 (study day 50 to 56)  1.34  
##  797     15     0  5.29         0 Baseline                     5.29  
##  798     15     1  5.39         1 Week 1 (study day 1 to 7)    4.02  
##  799     15     2  5.39         1 Week 1 (study day 1 to 7)    4.02  
##  800     15     3  5.39         1 Week 1 (study day 1 to 7)    4.02  
##  801     15     4  4.05         1 Week 1 (study day 1 to 7)    4.02  
##  802     15     5  2.70         1 Week 1 (study day 1 to 7)    4.02  
##  803     15     6  2.59         1 Week 1 (study day 1 to 7)    4.02  
##  804     15     7  2.59         1 Week 1 (study day 1 to 7)    4.02  
##  805     15     8  2.59         2 Week 2 (study day 8 to 14)   2.47  
##  806     15     9  2.59         2 Week 2 (study day 8 to 14)   2.47  
##  807     15    10  2.59         2 Week 2 (study day 8 to 14)   2.47  
##  808     15    11  2.59         2 Week 2 (study day 8 to 14)   2.47  
##  809     15    12  2.33         2 Week 2 (study day 8 to 14)   2.47  
##  810     15    13  2.28         2 Week 2 (study day 8 to 14)   2.47  
##  811     15    14  2.28         2 Week 2 (study day 8 to 14)   2.47  
##  812     15    15  2.28         3 Week 3 (study day 15 to 21)  2.32  
##  813     15    16  2.32         3 Week 3 (study day 15 to 21)  2.32  
##  814     15    17  2.32         3 Week 3 (study day 15 to 21)  2.32  
##  815     15    18  2.32         3 Week 3 (study day 15 to 21)  2.32  
##  816     15    19  2.32         3 Week 3 (study day 15 to 21)  2.32  
##  817     15    20  2.34         3 Week 3 (study day 15 to 21)  2.32  
##  818     15    21  2.34         3 Week 3 (study day 15 to 21)  2.32  
##  819     15    22  2.34         4 Week 4 (study day 22 to 28)  2.13  
##  820     15    23  2.26         4 Week 4 (study day 22 to 28)  2.13  
##  821     15    24  2.26         4 Week 4 (study day 22 to 28)  2.13  
##  822     15    25  2.01         4 Week 4 (study day 22 to 28)  2.13  
##  823     15    26  2.01         4 Week 4 (study day 22 to 28)  2.13  
##  824     15    27  2.01         4 Week 4 (study day 22 to 28)  2.13  
##  825     15    28  2.01         4 Week 4 (study day 22 to 28)  2.13  
##  826     15    29  2.01         5 Week 5 (study day 29 to 35)  1.96  
##  827     15    30  1.96         5 Week 5 (study day 29 to 35)  1.96  
##  828     15    31  1.96         5 Week 5 (study day 29 to 35)  1.96  
##  829     15    32  1.96         5 Week 5 (study day 29 to 35)  1.96  
##  830     15    33  1.96         5 Week 5 (study day 29 to 35)  1.96  
##  831     15    34  1.96         5 Week 5 (study day 29 to 35)  1.96  
##  832     15    35  1.93         5 Week 5 (study day 29 to 35)  1.96  
##  833     15    36  1.93         6 Week 6 (study day 36 to 42)  1.75  
##  834     15    37  1.93         6 Week 6 (study day 36 to 42)  1.75  
##  835     15    38  1.69         6 Week 6 (study day 36 to 42)  1.75  
##  836     15    39  1.69         6 Week 6 (study day 36 to 42)  1.75  
##  837     15    40  1.69         6 Week 6 (study day 36 to 42)  1.75  
##  838     15    41  1.67         6 Week 6 (study day 36 to 42)  1.75  
##  839     15    42  1.67         6 Week 6 (study day 36 to 42)  1.75  
##  840     15    43  1.67         7 Week 7 (study day 43 to 49)  1.66  
##  841     15    44  1.67         7 Week 7 (study day 43 to 49)  1.66  
##  842     15    45  1.67         7 Week 7 (study day 43 to 49)  1.66  
##  843     15    46  1.67         7 Week 7 (study day 43 to 49)  1.66  
##  844     15    47  1.67         7 Week 7 (study day 43 to 49)  1.66  
##  845     15    48  1.62         7 Week 7 (study day 43 to 49)  1.66  
##  846     15    49  1.62         7 Week 7 (study day 43 to 49)  1.66  
##  847     15    50  1.62         8 Week 8 (study day 50 to 56)  1.62  
##  848     15    51  1.62         8 Week 8 (study day 50 to 56)  1.62  
##  849     15    52  1.62         8 Week 8 (study day 50 to 56)  1.62  
##  850     15    53  1.62         8 Week 8 (study day 50 to 56)  1.62  
##  851     15    54  1.62         8 Week 8 (study day 50 to 56)  1.62  
##  852     15    55  1.64         8 Week 8 (study day 50 to 56)  1.62  
##  853     15    56  1.64         8 Week 8 (study day 50 to 56)  1.62  
##  854     16     0 36.8          0 Baseline                    36.8   
##  855     16     1  3.73         1 Week 1 (study day 1 to 7)    3.53  
##  856     16     2  3.73         1 Week 1 (study day 1 to 7)    3.53  
##  857     16     3  2.94         1 Week 1 (study day 1 to 7)    3.53  
##  858     16     4  2.94         1 Week 1 (study day 1 to 7)    3.53  
##  859     16     5  2.94         1 Week 1 (study day 1 to 7)    3.53  
##  860     16     6  3.01         1 Week 1 (study day 1 to 7)    3.53  
##  861     16     7  5.42         1 Week 1 (study day 1 to 7)    3.53  
##  862     16     8  2.41         2 Week 2 (study day 8 to 14)   2.38  
##  863     16     9  2.4          2 Week 2 (study day 8 to 14)   2.38  
##  864     16    10  2.4          2 Week 2 (study day 8 to 14)   2.38  
##  865     16    11  2.4          2 Week 2 (study day 8 to 14)   2.38  
##  866     16    12  2.4          2 Week 2 (study day 8 to 14)   2.38  
##  867     16    13  2.33         2 Week 2 (study day 8 to 14)   2.38  
##  868     16    14  2.33         2 Week 2 (study day 8 to 14)   2.38  
##  869     16    15  1.75         3 Week 3 (study day 15 to 21)  1.72  
##  870     16    16  1.71         3 Week 3 (study day 15 to 21)  1.72  
##  871     16    17  1.71         3 Week 3 (study day 15 to 21)  1.72  
##  872     16    18  1.71         3 Week 3 (study day 15 to 21)  1.72  
##  873     16    19  1.71         3 Week 3 (study day 15 to 21)  1.72  
##  874     16    20  1.73         3 Week 3 (study day 15 to 21)  1.72  
##  875     16    21  1.73         3 Week 3 (study day 15 to 21)  1.72  
##  876     16    22  1.15         4 Week 4 (study day 22 to 28)  1.16  
##  877     16    23  1.17         4 Week 4 (study day 22 to 28)  1.16  
##  878     16    24  1.17         4 Week 4 (study day 22 to 28)  1.16  
##  879     16    25  1.17         4 Week 4 (study day 22 to 28)  1.16  
##  880     16    26  1.17         4 Week 4 (study day 22 to 28)  1.16  
##  881     16    27  1.14         4 Week 4 (study day 22 to 28)  1.16  
##  882     16    28  1.14         4 Week 4 (study day 22 to 28)  1.16  
##  883     16    29  0.857        5 Week 5 (study day 29 to 35)  0.881 
##  884     16    30  0.857        5 Week 5 (study day 29 to 35)  0.881 
##  885     16    31  0.882        5 Week 5 (study day 29 to 35)  0.881 
##  886     16    32  0.882        5 Week 5 (study day 29 to 35)  0.881 
##  887     16    33  0.882        5 Week 5 (study day 29 to 35)  0.881 
##  888     16    34  0.882        5 Week 5 (study day 29 to 35)  0.881 
##  889     16    35  0.920        5 Week 5 (study day 29 to 35)  0.881 
##  890     16    36  0.920        6 Week 6 (study day 36 to 42)  0.644 
##  891     16    37  0.613        6 Week 6 (study day 36 to 42)  0.644 
##  892     16    38  0.613        6 Week 6 (study day 36 to 42)  0.644 
##  893     16    39  0.613        6 Week 6 (study day 36 to 42)  0.644 
##  894     16    40  0.583        6 Week 6 (study day 36 to 42)  0.644 
##  895     16    41  0.583        6 Week 6 (study day 36 to 42)  0.644 
##  896     16    42  0.583        6 Week 6 (study day 36 to 42)  0.644 
##  897     16    43  0.583        7 Week 7 (study day 43 to 49)  0.590 
##  898     16    44  0.583        7 Week 7 (study day 43 to 49)  0.590 
##  899     16    45  0.583        7 Week 7 (study day 43 to 49)  0.590 
##  900     16    46  0.583        7 Week 7 (study day 43 to 49)  0.590 
##  901     16    47  0.583        7 Week 7 (study day 43 to 49)  0.590 
##  902     16    48  0.609        7 Week 7 (study day 43 to 49)  0.590 
##  903     16    49  0.609        7 Week 7 (study day 43 to 49)  0.590 
##  904     16    50  0.609        8 Week 8 (study day 50 to 56)  0.506 
##  905     16    51  0.487        8 Week 8 (study day 50 to 56)  0.506 
##  906     16    52  0.487        8 Week 8 (study day 50 to 56)  0.506 
##  907     16    53  0.487        8 Week 8 (study day 50 to 56)  0.506 
##  908     16    54  0.487        8 Week 8 (study day 50 to 56)  0.506 
##  909     16    55  0.492        8 Week 8 (study day 50 to 56)  0.506 
##  910     16    56  0.492        8 Week 8 (study day 50 to 56)  0.506 
##  911     17     0  0.990        0 Baseline                     0.990 
##  912     17     1  0.990        1 Week 1 (study day 1 to 7)    0.997 
##  913     17     2  0.990        1 Week 1 (study day 1 to 7)    0.997 
##  914     17     3  0.995        1 Week 1 (study day 1 to 7)    0.997 
##  915     17     4  0.995        1 Week 1 (study day 1 to 7)    0.997 
##  916     17     5  0.995        1 Week 1 (study day 1 to 7)    0.997 
##  917     17     6  1.01         1 Week 1 (study day 1 to 7)    0.997 
##  918     17     7  1.01         1 Week 1 (study day 1 to 7)    0.997 
##  919     17     8  1.01         2 Week 2 (study day 8 to 14)   0.666 
##  920     17     9  0.694        2 Week 2 (study day 8 to 14)   0.666 
##  921     17    10  0.694        2 Week 2 (study day 8 to 14)   0.666 
##  922     17    11  0.694        2 Week 2 (study day 8 to 14)   0.666 
##  923     17    12  0.525        2 Week 2 (study day 8 to 14)   0.666 
##  924     17    13  0.525        2 Week 2 (study day 8 to 14)   0.666 
##  925     17    14  0.525        2 Week 2 (study day 8 to 14)   0.666 
##  926     17    15  0.522        3 Week 3 (study day 15 to 21)  0.518 
##  927     17    16  0.522        3 Week 3 (study day 15 to 21)  0.518 
##  928     17    17  0.522        3 Week 3 (study day 15 to 21)  0.518 
##  929     17    18  0.522        3 Week 3 (study day 15 to 21)  0.518 
##  930     17    19  0.513        3 Week 3 (study day 15 to 21)  0.518 
##  931     17    20  0.513        3 Week 3 (study day 15 to 21)  0.518 
##  932     17    21  0.513        3 Week 3 (study day 15 to 21)  0.518 
##  933     17    22  0.513        4 Week 4 (study day 22 to 28)  0.504 
##  934     17    23  0.504        4 Week 4 (study day 22 to 28)  0.504 
##  935     17    24  0.504        4 Week 4 (study day 22 to 28)  0.504 
##  936     17    25  0.504        4 Week 4 (study day 22 to 28)  0.504 
##  937     17    26  0.501        4 Week 4 (study day 22 to 28)  0.504 
##  938     17    27  0.501        4 Week 4 (study day 22 to 28)  0.504 
##  939     17    28  0.501        4 Week 4 (study day 22 to 28)  0.504 
##  940     17    29  0.501        5 Week 5 (study day 29 to 35)  0.492 
##  941     17    30  0.501        5 Week 5 (study day 29 to 35)  0.492 
##  942     17    31  0.501        5 Week 5 (study day 29 to 35)  0.492 
##  943     17    32  0.501        5 Week 5 (study day 29 to 35)  0.492 
##  944     17    33  0.48         5 Week 5 (study day 29 to 35)  0.492 
##  945     17    34  0.48         5 Week 5 (study day 29 to 35)  0.492 
##  946     17    35  0.48         5 Week 5 (study day 29 to 35)  0.492 
##  947     17    36  0.48         6 Week 6 (study day 36 to 42)  0.48  
##  948     17    37  0.48         6 Week 6 (study day 36 to 42)  0.48  
##  949     17    38  0.48         6 Week 6 (study day 36 to 42)  0.48  
##  950     17    39  0.48         6 Week 6 (study day 36 to 42)  0.48  
##  951     17    40  0.48         6 Week 6 (study day 36 to 42)  0.48  
##  952     17    41  0.48         6 Week 6 (study day 36 to 42)  0.48  
##  953     17    42  0.48         6 Week 6 (study day 36 to 42)  0.48  
##  954     17    43  0.48         7 Week 7 (study day 43 to 49)  0.459 
##  955     17    44  0.48         7 Week 7 (study day 43 to 49)  0.459 
##  956     17    45  0.48         7 Week 7 (study day 43 to 49)  0.459 
##  957     17    46  0.484        7 Week 7 (study day 43 to 49)  0.459 
##  958     17    47  0.484        7 Week 7 (study day 43 to 49)  0.459 
##  959     17    48  0.403        7 Week 7 (study day 43 to 49)  0.459 
##  960     17    49  0.403        7 Week 7 (study day 43 to 49)  0.459 
##  961     17    50  0.403        8 Week 8 (study day 50 to 56)  0.392 
##  962     17    51  0.391        8 Week 8 (study day 50 to 56)  0.392 
##  963     17    52  0.391        8 Week 8 (study day 50 to 56)  0.392 
##  964     17    53  0.391        8 Week 8 (study day 50 to 56)  0.392 
##  965     17    54  0.391        8 Week 8 (study day 50 to 56)  0.392 
##  966     17    55  0.391        8 Week 8 (study day 50 to 56)  0.392 
##  967     17    56  0.391        8 Week 8 (study day 50 to 56)  0.392 
##  968     18     0  4.38         0 Baseline                     4.38  
##  969     18     1  4.44         1 Week 1 (study day 1 to 7)    4.41  
##  970     18     2  4.44         1 Week 1 (study day 1 to 7)    4.41  
##  971     18     3  4.47         1 Week 1 (study day 1 to 7)    4.41  
##  972     18     4  4.47         1 Week 1 (study day 1 to 7)    4.41  
##  973     18     5  4.47         1 Week 1 (study day 1 to 7)    4.41  
##  974     18     6  4.29         1 Week 1 (study day 1 to 7)    4.41  
##  975     18     7  4.29         1 Week 1 (study day 1 to 7)    4.41  
##  976     18     8  4.29         2 Week 2 (study day 8 to 14)   4.10  
##  977     18     9  4.48         2 Week 2 (study day 8 to 14)   4.10  
##  978     18    10  4.48         2 Week 2 (study day 8 to 14)   4.10  
##  979     18    11  4.48         2 Week 2 (study day 8 to 14)   4.10  
##  980     18    12  4.47         2 Week 2 (study day 8 to 14)   4.10  
##  981     18    13  4.47         2 Week 2 (study day 8 to 14)   4.10  
##  982     18    14  2.02         2 Week 2 (study day 8 to 14)   4.10  
##  983     18    15  1.98         3 Week 3 (study day 15 to 21)  3.87  
##  984     18    16  4.17         3 Week 3 (study day 15 to 21)  3.87  
##  985     18    17  4.17         3 Week 3 (study day 15 to 21)  3.87  
##  986     18    18  4.21         3 Week 3 (study day 15 to 21)  3.87  
##  987     18    19  4.21         3 Week 3 (study day 15 to 21)  3.87  
##  988     18    20  4.21         3 Week 3 (study day 15 to 21)  3.87  
##  989     18    21  4.12         3 Week 3 (study day 15 to 21)  3.87  
##  990     18    22  4.12         4 Week 4 (study day 22 to 28)  4.11  
##  991     18    23  4.12         4 Week 4 (study day 22 to 28)  4.11  
##  992     18    24  4.11         4 Week 4 (study day 22 to 28)  4.11  
##  993     18    25  4.11         4 Week 4 (study day 22 to 28)  4.11  
##  994     18    26  4.11         4 Week 4 (study day 22 to 28)  4.11  
##  995     18    27  4.09         4 Week 4 (study day 22 to 28)  4.11  
##  996     18    28  4.09         4 Week 4 (study day 22 to 28)  4.11  
##  997     18    29  4.09         5 Week 5 (study day 29 to 35)  4.13  
##  998     18    30  4.14         5 Week 5 (study day 29 to 35)  4.13  
##  999     18    31  4.14         5 Week 5 (study day 29 to 35)  4.13  
## 1000     18    32  4.14         5 Week 5 (study day 29 to 35)  4.13  
## 1001     18    33  4.14         5 Week 5 (study day 29 to 35)  4.13  
## 1002     18    34  4.14         5 Week 5 (study day 29 to 35)  4.13  
## 1003     18    35  4.14         5 Week 5 (study day 29 to 35)  4.13  
## 1004     18    36  4.14         6 Week 6 (study day 36 to 42)  3.15  
## 1005     18    37  4.01         6 Week 6 (study day 36 to 42)  3.15  
## 1006     18    38  4.01         6 Week 6 (study day 36 to 42)  3.15  
## 1007     18    39  2.51         6 Week 6 (study day 36 to 42)  3.15  
## 1008     18    40  2.51         6 Week 6 (study day 36 to 42)  3.15  
## 1009     18    41  2.5          6 Week 6 (study day 36 to 42)  3.15  
## 1010     18    42  2.35         6 Week 6 (study day 36 to 42)  3.15  
## 1011     18    43  2.35         7 Week 7 (study day 43 to 49)  2.34  
## 1012     18    44  2.36         7 Week 7 (study day 43 to 49)  2.34  
## 1013     18    45  2.36         7 Week 7 (study day 43 to 49)  2.34  
## 1014     18    46  2.36         7 Week 7 (study day 43 to 49)  2.34  
## 1015     18    47  2.36         7 Week 7 (study day 43 to 49)  2.34  
## 1016     18    48  2.31         7 Week 7 (study day 43 to 49)  2.34  
## 1017     18    49  2.31         7 Week 7 (study day 43 to 49)  2.34  
## 1018     18    50  1.87         8 Week 8 (study day 50 to 56)  1.86  
## 1019     18    51  1.86         8 Week 8 (study day 50 to 56)  1.86  
## 1020     18    52  1.86         8 Week 8 (study day 50 to 56)  1.86  
## 1021     18    53  1.86         8 Week 8 (study day 50 to 56)  1.86  
## 1022     18    54  1.86         8 Week 8 (study day 50 to 56)  1.86  
## 1023     18    55  1.86         8 Week 8 (study day 50 to 56)  1.86  
## 1024     18    56  1.86         8 Week 8 (study day 50 to 56)  1.86  
## 1025     19     0  0.727        0 Baseline                     0.727 
## 1026     19     1  0.727        1 Week 1 (study day 1 to 7)    0.727 
## 1027     19     2  0.727        1 Week 1 (study day 1 to 7)    0.727 
## 1028     19     3  0.727        1 Week 1 (study day 1 to 7)    0.727 
## 1029     19     4  0.727        1 Week 1 (study day 1 to 7)    0.727 
## 1030     19     5  0.727        1 Week 1 (study day 1 to 7)    0.727 
## 1031     19     6  0.727        1 Week 1 (study day 1 to 7)    0.727 
## 1032     19     7  0.727        1 Week 1 (study day 1 to 7)    0.727 
## 1033     19     8  0.727        2 Week 2 (study day 8 to 14)   0.733 
## 1034     19     9  0.741        2 Week 2 (study day 8 to 14)   0.733 
## 1035     19    10  0.741        2 Week 2 (study day 8 to 14)   0.733 
## 1036     19    11  0.741        2 Week 2 (study day 8 to 14)   0.733 
## 1037     19    12  0.727        2 Week 2 (study day 8 to 14)   0.733 
## 1038     19    13  0.727        2 Week 2 (study day 8 to 14)   0.733 
## 1039     19    14  0.727        2 Week 2 (study day 8 to 14)   0.733 
## 1040     19    15  0.727        3 Week 3 (study day 15 to 21)  0.737 
## 1041     19    16  0.727        3 Week 3 (study day 15 to 21)  0.737 
## 1042     19    17  0.727        3 Week 3 (study day 15 to 21)  0.737 
## 1043     19    18  0.741        3 Week 3 (study day 15 to 21)  0.737 
## 1044     19    19  0.741        3 Week 3 (study day 15 to 21)  0.737 
## 1045     19    20  0.741        3 Week 3 (study day 15 to 21)  0.737 
## 1046     19    21  0.755        3 Week 3 (study day 15 to 21)  0.737 
## 1047     19    22  0.566        4 Week 4 (study day 22 to 28)  0.556 
## 1048     19    23  0.566        4 Week 4 (study day 22 to 28)  0.556 
## 1049     19    24  0.566        4 Week 4 (study day 22 to 28)  0.556 
## 1050     19    25  0.545        4 Week 4 (study day 22 to 28)  0.556 
## 1051     19    26  0.545        4 Week 4 (study day 22 to 28)  0.556 
## 1052     19    27  0.545        4 Week 4 (study day 22 to 28)  0.556 
## 1053     19    28  0.556        4 Week 4 (study day 22 to 28)  0.556 
## 1054     19    29  0.556        5 Week 5 (study day 29 to 35)  0.477 
## 1055     19    30  0.463        5 Week 5 (study day 29 to 35)  0.477 
## 1056     19    31  0.463        5 Week 5 (study day 29 to 35)  0.477 
## 1057     19    32  0.465        5 Week 5 (study day 29 to 35)  0.477 
## 1058     19    33  0.465        5 Week 5 (study day 29 to 35)  0.477 
## 1059     19    34  0.465        5 Week 5 (study day 29 to 35)  0.477 
## 1060     19    35  0.463        5 Week 5 (study day 29 to 35)  0.477 
## 1061     19    36 23.6          6 Week 6 (study day 36 to 42)  7.08  
## 1062     19    37 12.0          6 Week 6 (study day 36 to 42)  7.08  
## 1063     19    38 12.0          6 Week 6 (study day 36 to 42)  7.08  
## 1064     19    39  0.463        6 Week 6 (study day 36 to 42)  7.08  
## 1065     19    40  0.463        6 Week 6 (study day 36 to 42)  7.08  
## 1066     19    41  0.463        6 Week 6 (study day 36 to 42)  7.08  
## 1067     19    42  0.459        6 Week 6 (study day 36 to 42)  7.08  
## 1068     19    43  0.459        7 Week 7 (study day 43 to 49)  0.536 
## 1069     19    44  0.459        7 Week 7 (study day 43 to 49)  0.536 
## 1070     19    45  0.550        7 Week 7 (study day 43 to 49)  0.536 
## 1071     19    46  0.573        7 Week 7 (study day 43 to 49)  0.536 
## 1072     19    47  0.573        7 Week 7 (study day 43 to 49)  0.536 
## 1073     19    48  0.573        7 Week 7 (study day 43 to 49)  0.536 
## 1074     19    49  0.567        7 Week 7 (study day 43 to 49)  0.536 
## 1075     19    50  0.567        8 Week 8 (study day 50 to 56)  0.490 
## 1076     19    51  0.473        8 Week 8 (study day 50 to 56)  0.490 
## 1077     19    52  0.473        8 Week 8 (study day 50 to 56)  0.490 
## 1078     19    53  0.481        8 Week 8 (study day 50 to 56)  0.490 
## 1079     19    54  0.481        8 Week 8 (study day 50 to 56)  0.490 
## 1080     19    55  0.481        8 Week 8 (study day 50 to 56)  0.490 
## 1081     19    56  0.473        8 Week 8 (study day 50 to 56)  0.490 
## 1082     20     0  2.67         0 Baseline                     2.67  
## 1083     20     1  2.67         1 Week 1 (study day 1 to 7)   13.3   
## 1084     20     2  3            1 Week 1 (study day 1 to 7)   13.3   
## 1085     20     3  3            1 Week 1 (study day 1 to 7)   13.3   
## 1086     20     4  2.96         1 Week 1 (study day 1 to 7)   13.3   
## 1087     20     5 26.4          1 Week 1 (study day 1 to 7)   13.3   
## 1088     20     6  1.01         1 Week 1 (study day 1 to 7)   13.3   
## 1089     20     7  1.01         1 Week 1 (study day 1 to 7)   13.3   
## 1090     20     8  1.01         2 Week 2 (study day 8 to 14)  11.3   
## 1091     20     9  0.968        2 Week 2 (study day 8 to 14)  11.3   
## 1092     20    10 25.2          2 Week 2 (study day 8 to 14)  11.3   
## 1093     20    11 25.2          2 Week 2 (study day 8 to 14)  11.3   
## 1094     20    12 25.2          2 Week 2 (study day 8 to 14)  11.3   
## 1095     20    13  0.932        2 Week 2 (study day 8 to 14)  11.3   
## 1096     20    14  0.932        2 Week 2 (study day 8 to 14)  11.3   
## 1097     20    15  0.932        3 Week 3 (study day 15 to 21)  0.912 
## 1098     20    16  0.968        3 Week 3 (study day 15 to 21)  0.912 
## 1099     20    17  0.968        3 Week 3 (study day 15 to 21)  0.912 
## 1100     20    18  0.968        3 Week 3 (study day 15 to 21)  0.912 
## 1101     20    19  0.968        3 Week 3 (study day 15 to 21)  0.912 
## 1102     20    20  0.949        3 Week 3 (study day 15 to 21)  0.912 
## 1103     20    21  0.633        3 Week 3 (study day 15 to 21)  0.912 
## 1104     20    22  0.633        4 Week 4 (study day 22 to 28)  0.604 
## 1105     20    23  0.625        4 Week 4 (study day 22 to 28)  0.604 
## 1106     20    24  0.625        4 Week 4 (study day 22 to 28)  0.604 
## 1107     20    25  0.625        4 Week 4 (study day 22 to 28)  0.604 
## 1108     20    26  0.625        4 Week 4 (study day 22 to 28)  0.604 
## 1109     20    27  0.625        4 Week 4 (study day 22 to 28)  0.604 
## 1110     20    28  0.469        4 Week 4 (study day 22 to 28)  0.604 
## 1111     20    29  0.469        5 Week 5 (study day 29 to 35)  0.467 
## 1112     20    30  0.469        5 Week 5 (study day 29 to 35)  0.467 
## 1113     20    31  0.469        5 Week 5 (study day 29 to 35)  0.467 
## 1114     20    32  0.469        5 Week 5 (study day 29 to 35)  0.467 
## 1115     20    33  0.469        5 Week 5 (study day 29 to 35)  0.467 
## 1116     20    34  0.463        5 Week 5 (study day 29 to 35)  0.467 
## 1117     20    35  0.463        5 Week 5 (study day 29 to 35)  0.467 
## 1118     20    36  0.386        6 Week 6 (study day 36 to 42)  0.380 
## 1119     20    37  0.379        6 Week 6 (study day 36 to 42)  0.380 
## 1120     20    38  0.379        6 Week 6 (study day 36 to 42)  0.380 
## 1121     20    39  0.379        6 Week 6 (study day 36 to 42)  0.380 
## 1122     20    40  0.379        6 Week 6 (study day 36 to 42)  0.380 
## 1123     20    41  0.381        6 Week 6 (study day 36 to 42)  0.380 
## 1124     20    42  0.381        6 Week 6 (study day 36 to 42)  0.380 
## 1125     20    43  0.381        7 Week 7 (study day 43 to 49)  0.379 
## 1126     20    44  0.379        7 Week 7 (study day 43 to 49)  0.379 
## 1127     20    45  0.379        7 Week 7 (study day 43 to 49)  0.379 
## 1128     20    46  0.379        7 Week 7 (study day 43 to 49)  0.379 
## 1129     20    47  0.379        7 Week 7 (study day 43 to 49)  0.379 
## 1130     20    48  0.379        7 Week 7 (study day 43 to 49)  0.379 
## 1131     20    49  0.379        7 Week 7 (study day 43 to 49)  0.379 
## 1132     20    50  0.379        8 Week 8 (study day 50 to 56)  0.309 
## 1133     20    51  0.299        8 Week 8 (study day 50 to 56)  0.309 
## 1134     20    52  0.299        8 Week 8 (study day 50 to 56)  0.309 
## 1135     20    53  0.299        8 Week 8 (study day 50 to 56)  0.309 
## 1136     20    54  0.299        8 Week 8 (study day 50 to 56)  0.309 
## 1137     20    55  0.294        8 Week 8 (study day 50 to 56)  0.309 
## 1138     20    56  0.294        8 Week 8 (study day 50 to 56)  0.309 
## 1139     21     0  0            0 Baseline                     0     
## 1140     21     1 24.9          1 Week 1 (study day 1 to 7)    1.28  
## 1141     21     2  1.42         1 Week 1 (study day 1 to 7)    1.28  
## 1142     21     3  1.39         1 Week 1 (study day 1 to 7)    1.28  
## 1143     21     4  1.39         1 Week 1 (study day 1 to 7)    1.28  
## 1144     21     5  1.12         1 Week 1 (study day 1 to 7)    1.28  
## 1145     21     6  1.11         1 Week 1 (study day 1 to 7)    1.28  
## 1146     21     7  1.11         1 Week 1 (study day 1 to 7)    1.28  
## 1147     21     8  1.11         2 Week 2 (study day 8 to 14)   2.39  
## 1148     21     9  1.09         2 Week 2 (study day 8 to 14)   2.39  
## 1149     21    10 11.4          2 Week 2 (study day 8 to 14)   2.39  
## 1150     21    11  0.909        2 Week 2 (study day 8 to 14)   2.39  
## 1151     21    12  0.759        2 Week 2 (study day 8 to 14)   2.39  
## 1152     21    13  0.759        2 Week 2 (study day 8 to 14)   2.39  
## 1153     21    14  0.759        2 Week 2 (study day 8 to 14)   2.39  
## 1154     21    15  0.750        3 Week 3 (study day 15 to 21)  0.745 
## 1155     21    16  0.750        3 Week 3 (study day 15 to 21)  0.745 
## 1156     21    17  0.741        3 Week 3 (study day 15 to 21)  0.745 
## 1157     21    18  0.741        3 Week 3 (study day 15 to 21)  0.745 
## 1158     21    19  0.741        3 Week 3 (study day 15 to 21)  0.745 
## 1159     21    20  0.741        3 Week 3 (study day 15 to 21)  0.745 
## 1160     21    21  0.752        3 Week 3 (study day 15 to 21)  0.745 
## 1161     21    22  0.470        4 Week 4 (study day 22 to 28)  0.466 
## 1162     21    23  0.470        4 Week 4 (study day 22 to 28)  0.466 
## 1163     21    24  0.465        4 Week 4 (study day 22 to 28)  0.466 
## 1164     21    25  0.465        4 Week 4 (study day 22 to 28)  0.466 
## 1165     21    26  0.465        4 Week 4 (study day 22 to 28)  0.466 
## 1166     21    27  0.465        4 Week 4 (study day 22 to 28)  0.466 
## 1167     21    28  0.460        4 Week 4 (study day 22 to 28)  0.466 
## 1168     21    29  0.460        5 Week 5 (study day 29 to 35)  0.382 
## 1169     21    30  0.368        5 Week 5 (study day 29 to 35)  0.382 
## 1170     21    31  0.368        5 Week 5 (study day 29 to 35)  0.382 
## 1171     21    32  0.368        5 Week 5 (study day 29 to 35)  0.382 
## 1172     21    33  0.370        5 Week 5 (study day 29 to 35)  0.382 
## 1173     21    34  0.370        5 Week 5 (study day 29 to 35)  0.382 
## 1174     21    35  0.370        5 Week 5 (study day 29 to 35)  0.382 
## 1175     21    36  0.370        6 Week 6 (study day 36 to 42)  0.380 
## 1176     21    37  0.370        6 Week 6 (study day 36 to 42)  0.380 
## 1177     21    38  0.370        6 Week 6 (study day 36 to 42)  0.380 
## 1178     21    39  0.370        6 Week 6 (study day 36 to 42)  0.380 
## 1179     21    40  0.636        6 Week 6 (study day 36 to 42)  0.380 
## 1180     21    41  0.273        6 Week 6 (study day 36 to 42)  0.380 
## 1181     21    42  0.273        6 Week 6 (study day 36 to 42)  0.380 
## 1182     21    43  0.273        7 Week 7 (study day 43 to 49)  0.274 
## 1183     21    44  0.273        7 Week 7 (study day 43 to 49)  0.274 
## 1184     21    45  0.273        7 Week 7 (study day 43 to 49)  0.274 
## 1185     21    46  0.273        7 Week 7 (study day 43 to 49)  0.274 
## 1186     21    47  0.275        7 Week 7 (study day 43 to 49)  0.274 
## 1187     21    48  0.275        7 Week 7 (study day 43 to 49)  0.274 
## 1188     21    49  0.275        7 Week 7 (study day 43 to 49)  0.274 
## 1189     21    50  0.275        8 Week 8 (study day 50 to 56)  0.235 
## 1190     21    51  0.275        8 Week 8 (study day 50 to 56)  0.235 
## 1191     21    52  0.275        8 Week 8 (study day 50 to 56)  0.235 
## 1192     21    53  0.275        8 Week 8 (study day 50 to 56)  0.235 
## 1193     21    54  0.181        8 Week 8 (study day 50 to 56)  0.235 
## 1194     21    55  0.181        8 Week 8 (study day 50 to 56)  0.235 
## 1195     21    56  0.181        8 Week 8 (study day 50 to 56)  0.235 
## 1196     22     0  0            0 Baseline                     0     
## 1197     22     1  0.258        1 Week 1 (study day 1 to 7)    0.258 
## 1198     22     2  0.258        1 Week 1 (study day 1 to 7)    0.258 
## 1199     22     3  0.258        1 Week 1 (study day 1 to 7)    0.258 
## 1200     22     4  0.258        1 Week 1 (study day 1 to 7)    0.258 
## 1201     22     5  0.258        1 Week 1 (study day 1 to 7)    0.258 
## 1202     22     6  0.257        1 Week 1 (study day 1 to 7)    0.258 
## 1203     22     7  0.257        1 Week 1 (study day 1 to 7)    0.258 
## 1204     22     8  0.257        2 Week 2 (study day 8 to 14)   0.229 
## 1205     22     9  0.257        2 Week 2 (study day 8 to 14)   0.229 
## 1206     22    10  0.256        2 Week 2 (study day 8 to 14)   0.229 
## 1207     22    11  0.256        2 Week 2 (study day 8 to 14)   0.229 
## 1208     22    12  0.192        2 Week 2 (study day 8 to 14)   0.229 
## 1209     22    13  0.191        2 Week 2 (study day 8 to 14)   0.229 
## 1210     22    14  0.191        2 Week 2 (study day 8 to 14)   0.229 
## 1211     22    15  0.191        3 Week 3 (study day 15 to 21)  0.351 
## 1212     22    16  0.189        3 Week 3 (study day 15 to 21)  0.351 
## 1213     22    17  0.818        3 Week 3 (study day 15 to 21)  0.351 
## 1214     22    18  0.314        3 Week 3 (study day 15 to 21)  0.351 
## 1215     22    19  0.316        3 Week 3 (study day 15 to 21)  0.351 
## 1216     22    20  0.316        3 Week 3 (study day 15 to 21)  0.351 
## 1217     22    21  0.314        3 Week 3 (study day 15 to 21)  0.351 
## 1218     22    22  0.314        4 Week 4 (study day 22 to 28)  0.240 
## 1219     22    23  0.251        4 Week 4 (study day 22 to 28)  0.240 
## 1220     22    24  0.251        4 Week 4 (study day 22 to 28)  0.240 
## 1221     22    25  0.248        4 Week 4 (study day 22 to 28)  0.240 
## 1222     22    26  0.248        4 Week 4 (study day 22 to 28)  0.240 
## 1223     22    27  0.186        4 Week 4 (study day 22 to 28)  0.240 
## 1224     22    28  0.187        4 Week 4 (study day 22 to 28)  0.240 
## 1225     22    29  0.187        5 Week 5 (study day 29 to 35)  0.169 
## 1226     22    30  0.187        5 Week 5 (study day 29 to 35)  0.169 
## 1227     22    31  0.186        5 Week 5 (study day 29 to 35)  0.169 
## 1228     22    32  0.155        5 Week 5 (study day 29 to 35)  0.169 
## 1229     22    33  0.155        5 Week 5 (study day 29 to 35)  0.169 
## 1230     22    34  0.155        5 Week 5 (study day 29 to 35)  0.169 
## 1231     22    35  0.155        5 Week 5 (study day 29 to 35)  0.169 
## 1232     22    36  0.124        6 Week 6 (study day 36 to 42)  0.132 
## 1233     22    37  0.124        6 Week 6 (study day 36 to 42)  0.132 
## 1234     22    38  0.123        6 Week 6 (study day 36 to 42)  0.132 
## 1235     22    39  0.123        6 Week 6 (study day 36 to 42)  0.132 
## 1236     22    40  0.0920       6 Week 6 (study day 36 to 42)  0.132 
## 1237     22    41  0.0920       6 Week 6 (study day 36 to 42)  0.132 
## 1238     22    42  0.247        6 Week 6 (study day 36 to 42)  0.132 
## 1239     22    43  0.247        7 Week 7 (study day 43 to 49)  0.141 
## 1240     22    44  0.124        7 Week 7 (study day 43 to 49)  0.141 
## 1241     22    45  0.124        7 Week 7 (study day 43 to 49)  0.141 
## 1242     22    46  0.124        7 Week 7 (study day 43 to 49)  0.141 
## 1243     22    47  0.124        7 Week 7 (study day 43 to 49)  0.141 
## 1244     22    48  0.124        7 Week 7 (study day 43 to 49)  0.141 
## 1245     22    49  0.124        7 Week 7 (study day 43 to 49)  0.141 
## 1246     22    50  0.131        8 Week 8 (study day 50 to 56)  0.131 
## 1247     22    51  0.131        8 Week 8 (study day 50 to 56)  0.131 
## 1248     22    52  0.131        8 Week 8 (study day 50 to 56)  0.131 
## 1249     22    53  0.131        8 Week 8 (study day 50 to 56)  0.131 
## 1250     22    54  0.131        8 Week 8 (study day 50 to 56)  0.131 
## 1251     22    55  0.131        8 Week 8 (study day 50 to 56)  0.131 
## 1252     22    56  0.131        8 Week 8 (study day 50 to 56)  0.131 
## 1253     23     0  0.289        0 Baseline                     0.289 
## 1254     23     1  0.289        1 Week 1 (study day 1 to 7)    0.243 
## 1255     23     2  0.289        1 Week 1 (study day 1 to 7)    0.243 
## 1256     23     3  0.282        1 Week 1 (study day 1 to 7)    0.243 
## 1257     23     4  0.282        1 Week 1 (study day 1 to 7)    0.243 
## 1258     23     5  0.211        1 Week 1 (study day 1 to 7)    0.243 
## 1259     23     6  0.207        1 Week 1 (study day 1 to 7)    0.243 
## 1260     23     7  0.138        1 Week 1 (study day 1 to 7)    0.243 
## 1261     23     8  0.138        2 Week 2 (study day 8 to 14)   0.186 
## 1262     23     9  0.151        2 Week 2 (study day 8 to 14)   0.186 
## 1263     23    10  0.151        2 Week 2 (study day 8 to 14)   0.186 
## 1264     23    11  0.113        2 Week 2 (study day 8 to 14)   0.186 
## 1265     23    12  0.151        2 Week 2 (study day 8 to 14)   0.186 
## 1266     23    13  0.150        2 Week 2 (study day 8 to 14)   0.186 
## 1267     23    14  0.451        2 Week 2 (study day 8 to 14)   0.186 
## 1268     23    15  0.301        3 Week 3 (study day 15 to 21)  1.03  
## 1269     23    16  4            3 Week 3 (study day 15 to 21)  1.03  
## 1270     23    17  0.593        3 Week 3 (study day 15 to 21)  1.03  
## 1271     23    18  0.583        3 Week 3 (study day 15 to 21)  1.03  
## 1272     23    19  0.583        3 Week 3 (study day 15 to 21)  1.03  
## 1273     23    20  0.583        3 Week 3 (study day 15 to 21)  1.03  
## 1274     23    21  0.582        3 Week 3 (study day 15 to 21)  1.03  
## 1275     23    22  0.582        4 Week 4 (study day 22 to 28)  0.404 
## 1276     23    23  0.437        4 Week 4 (study day 22 to 28)  0.404 
## 1277     23    24  0.452        4 Week 4 (study day 22 to 28)  0.404 
## 1278     23    25  0.452        4 Week 4 (study day 22 to 28)  0.404 
## 1279     23    26  0.302        4 Week 4 (study day 22 to 28)  0.404 
## 1280     23    27  0.301        4 Week 4 (study day 22 to 28)  0.404 
## 1281     23    28  0.301        4 Week 4 (study day 22 to 28)  0.404 
## 1282     23    29  0.301        5 Week 5 (study day 29 to 35)  0.305 
## 1283     23    30  0.307        5 Week 5 (study day 29 to 35)  0.305 
## 1284     23    31  0.307        5 Week 5 (study day 29 to 35)  0.305 
## 1285     23    32  0.307        5 Week 5 (study day 29 to 35)  0.305 
## 1286     23    33  0.307        5 Week 5 (study day 29 to 35)  0.305 
## 1287     23    34  0.303        5 Week 5 (study day 29 to 35)  0.305 
## 1288     23    35  0.303        5 Week 5 (study day 29 to 35)  0.305 
## 1289     23    36  0.303        6 Week 6 (study day 36 to 42)  0.302 
## 1290     23    37  0.303        6 Week 6 (study day 36 to 42)  0.302 
## 1291     23    38  0.303        6 Week 6 (study day 36 to 42)  0.302 
## 1292     23    39  0.302        6 Week 6 (study day 36 to 42)  0.302 
## 1293     23    40  0.302        6 Week 6 (study day 36 to 42)  0.302 
## 1294     23    41  0.302        6 Week 6 (study day 36 to 42)  0.302 
## 1295     23    42  0.302        6 Week 6 (study day 36 to 42)  0.302 
## 1296     23    43  0.302        7 Week 7 (study day 43 to 49)  0.465 
## 1297     23    44  0.302        7 Week 7 (study day 43 to 49)  0.465 
## 1298     23    45  0.603        7 Week 7 (study day 43 to 49)  0.465 
## 1299     23    46  0.585        7 Week 7 (study day 43 to 49)  0.465 
## 1300     23    47  0.585        7 Week 7 (study day 43 to 49)  0.465 
## 1301     23    48  0.439        7 Week 7 (study day 43 to 49)  0.465 
## 1302     23    49  0.439        7 Week 7 (study day 43 to 49)  0.465 
## 1303     23    50  0.439        8 Week 8 (study day 50 to 56)  1.57  
## 1304     23    51  0.292        8 Week 8 (study day 50 to 56)  1.57  
## 1305     23    52  0.292        8 Week 8 (study day 50 to 56)  1.57  
## 1306     23    53  0.292        8 Week 8 (study day 50 to 56)  1.57  
## 1307     23    54  0.292        8 Week 8 (study day 50 to 56)  1.57  
## 1308     23    55  7.60         8 Week 8 (study day 50 to 56)  1.57  
## 1309     23    56  1.75         8 Week 8 (study day 50 to 56)  1.57  
## 1310     24     0  2.37         0 Baseline                     2.37  
## 1311     24     1  2.37         1 Week 1 (study day 1 to 7)   18.1   
## 1312     24     2  2.37         1 Week 1 (study day 1 to 7)   18.1   
## 1313     24     3 39.6          1 Week 1 (study day 1 to 7)   18.1   
## 1314     24     4 39.6          1 Week 1 (study day 1 to 7)   18.1   
## 1315     24     5 39.6          1 Week 1 (study day 1 to 7)   18.1   
## 1316     24     6  2.23         1 Week 1 (study day 1 to 7)   18.1   
## 1317     24     7  1.12         1 Week 1 (study day 1 to 7)   18.1   
## 1318     24     8  1.12         2 Week 2 (study day 8 to 14)   1.12  
## 1319     24     9  1.16         2 Week 2 (study day 8 to 14)   1.12  
## 1320     24    10  1.16         2 Week 2 (study day 8 to 14)   1.12  
## 1321     24    11  1.16         2 Week 2 (study day 8 to 14)   1.12  
## 1322     24    12  1.16         2 Week 2 (study day 8 to 14)   1.12  
## 1323     24    13  1.16         2 Week 2 (study day 8 to 14)   1.12  
## 1324     24    14  0.926        2 Week 2 (study day 8 to 14)   1.12  
## 1325     24    15  0.926        3 Week 3 (study day 15 to 21)  6.22  
## 1326     24    16  0.926        3 Week 3 (study day 15 to 21)  6.22  
## 1327     24    17  0.926        3 Week 3 (study day 15 to 21)  6.22  
## 1328     24    18  0.898        3 Week 3 (study day 15 to 21)  6.22  
## 1329     24    19  0.898        3 Week 3 (study day 15 to 21)  6.22  
## 1330     24    20  0.898        3 Week 3 (study day 15 to 21)  6.22  
## 1331     24    21 38.1          3 Week 3 (study day 15 to 21)  6.22  
## 1332     24    22  0.893        4 Week 4 (study day 22 to 28)  6.28  
## 1333     24    23  0.898        4 Week 4 (study day 22 to 28)  6.28  
## 1334     24    24  0.898        4 Week 4 (study day 22 to 28)  6.28  
## 1335     24    25  0.898        4 Week 4 (study day 22 to 28)  6.28  
## 1336     24    26  0.904        4 Week 4 (study day 22 to 28)  6.28  
## 1337     24    27 38.6          4 Week 4 (study day 22 to 28)  6.28  
## 1338     24    28  0.904        4 Week 4 (study day 22 to 28)  6.28  
## 1339     24    29  0.904        5 Week 5 (study day 29 to 35)  0.899 
## 1340     24    30  0.904        5 Week 5 (study day 29 to 35)  0.899 
## 1341     24    31  0.904        5 Week 5 (study day 29 to 35)  0.899 
## 1342     24    32  0.904        5 Week 5 (study day 29 to 35)  0.899 
## 1343     24    33  0.904        5 Week 5 (study day 29 to 35)  0.899 
## 1344     24    34  0.904        5 Week 5 (study day 29 to 35)  0.899 
## 1345     24    35  0.872        5 Week 5 (study day 29 to 35)  0.899 
## 1346     24    36  0.872        6 Week 6 (study day 36 to 42)  0.831 
## 1347     24    37  0.872        6 Week 6 (study day 36 to 42)  0.831 
## 1348     24    38  0.872        6 Week 6 (study day 36 to 42)  0.831 
## 1349     24    39  0.872        6 Week 6 (study day 36 to 42)  0.831 
## 1350     24    40  0.872        6 Week 6 (study day 36 to 42)  0.831 
## 1351     24    41  0.872        6 Week 6 (study day 36 to 42)  0.831 
## 1352     24    42  0.581        6 Week 6 (study day 36 to 42)  0.831 
## 1353     24    43  0.581        7 Week 7 (study day 43 to 49)  0.552 
## 1354     24    44  0.581        7 Week 7 (study day 43 to 49)  0.552 
## 1355     24    45  0.581        7 Week 7 (study day 43 to 49)  0.552 
## 1356     24    46  0.565        7 Week 7 (study day 43 to 49)  0.552 
## 1357     24    47  0.565        7 Week 7 (study day 43 to 49)  0.552 
## 1358     24    48  0.565        7 Week 7 (study day 43 to 49)  0.552 
## 1359     24    49  0.424        7 Week 7 (study day 43 to 49)  0.552 
## 1360     24    50  0.424        8 Week 8 (study day 50 to 56)  0.422 
## 1361     24    51  0.424        8 Week 8 (study day 50 to 56)  0.422 
## 1362     24    52  0.424        8 Week 8 (study day 50 to 56)  0.422 
## 1363     24    53  0.420        8 Week 8 (study day 50 to 56)  0.422 
## 1364     24    54  0.420        8 Week 8 (study day 50 to 56)  0.422 
## 1365     24    55  0.420        8 Week 8 (study day 50 to 56)  0.422 
## 1366     24    56  0.420        8 Week 8 (study day 50 to 56)  0.422 
## 1367     25     0  3.52         0 Baseline                     3.52  
## 1368     25     1  3.52         1 Week 1 (study day 1 to 7)    3.52  
## 1369     25     2  3.52         1 Week 1 (study day 1 to 7)    3.52  
## 1370     25     3  3.52         1 Week 1 (study day 1 to 7)    3.52  
## 1371     25     4  3.52         1 Week 1 (study day 1 to 7)    3.52  
## 1372     25     5  3.52         1 Week 1 (study day 1 to 7)    3.52  
## 1373     25     6  3.52         1 Week 1 (study day 1 to 7)    3.52  
## 1374     25     7  3.52         1 Week 1 (study day 1 to 7)    3.52  
## 1375     25     8  3.52         2 Week 2 (study day 8 to 14)   3.24  
## 1376     25     9  3.52         2 Week 2 (study day 8 to 14)   3.24  
## 1377     25    10  3.52         2 Week 2 (study day 8 to 14)   3.24  
## 1378     25    11  3.12         2 Week 2 (study day 8 to 14)   3.24  
## 1379     25    12  3.12         2 Week 2 (study day 8 to 14)   3.24  
## 1380     25    13  3.12         2 Week 2 (study day 8 to 14)   3.24  
## 1381     25    14  2.73         2 Week 2 (study day 8 to 14)   3.24  
## 1382     25    15  2.73         3 Week 3 (study day 15 to 21)  2.64  
## 1383     25    16  2.73         3 Week 3 (study day 15 to 21)  2.64  
## 1384     25    17  2.58         3 Week 3 (study day 15 to 21)  2.64  
## 1385     25    18  2.58         3 Week 3 (study day 15 to 21)  2.64  
## 1386     25    19  2.58         3 Week 3 (study day 15 to 21)  2.64  
## 1387     25    20  2.58         3 Week 3 (study day 15 to 21)  2.64  
## 1388     25    21  2.68         3 Week 3 (study day 15 to 21)  2.64  
## 1389     25    22  2.68         4 Week 4 (study day 22 to 28)  2.68  
## 1390     25    23  2.68         4 Week 4 (study day 22 to 28)  2.68  
## 1391     25    24  2.68         4 Week 4 (study day 22 to 28)  2.68  
## 1392     25    25  2.68         4 Week 4 (study day 22 to 28)  2.68  
## 1393     25    26  2.68         4 Week 4 (study day 22 to 28)  2.68  
## 1394     25    27  2.68         4 Week 4 (study day 22 to 28)  2.68  
## 1395     25    28  2.68         4 Week 4 (study day 22 to 28)  2.68  
## 1396     25    29  2.68         5 Week 5 (study day 29 to 35)  2.65  
## 1397     25    30  2.68         5 Week 5 (study day 29 to 35)  2.65  
## 1398     25    31  2.68         5 Week 5 (study day 29 to 35)  2.65  
## 1399     25    32  2.68         5 Week 5 (study day 29 to 35)  2.65  
## 1400     25    33  2.68         5 Week 5 (study day 29 to 35)  2.65  
## 1401     25    34  2.59         5 Week 5 (study day 29 to 35)  2.65  
## 1402     25    35  2.59         5 Week 5 (study day 29 to 35)  2.65  
## 1403     25    36  2.59         6 Week 6 (study day 36 to 42)  2.53  
## 1404     25    37  2.59         6 Week 6 (study day 36 to 42)  2.53  
## 1405     25    38  2.5          6 Week 6 (study day 36 to 42)  2.53  
## 1406     25    39  2.5          6 Week 6 (study day 36 to 42)  2.53  
## 1407     25    40  2.5          6 Week 6 (study day 36 to 42)  2.53  
## 1408     25    41  2.5          6 Week 6 (study day 36 to 42)  2.53  
## 1409     25    42  2.5          6 Week 6 (study day 36 to 42)  2.53  
## 1410     25    43  2.5          7 Week 7 (study day 43 to 49)  2.39  
## 1411     25    44  2.5          7 Week 7 (study day 43 to 49)  2.39  
## 1412     25    45  2.5          7 Week 7 (study day 43 to 49)  2.39  
## 1413     25    46  2.41         7 Week 7 (study day 43 to 49)  2.39  
## 1414     25    47  2.32         7 Week 7 (study day 43 to 49)  2.39  
## 1415     25    48  2.32         7 Week 7 (study day 43 to 49)  2.39  
## 1416     25    49  2.14         7 Week 7 (study day 43 to 49)  2.39  
## 1417     25    50  2.14         8 Week 8 (study day 50 to 56)  1.96  
## 1418     25    51  1.96         8 Week 8 (study day 50 to 56)  1.96  
## 1419     25    52  1.96         8 Week 8 (study day 50 to 56)  1.96  
## 1420     25    53  1.96         8 Week 8 (study day 50 to 56)  1.96  
## 1421     25    54  1.96         8 Week 8 (study day 50 to 56)  1.96  
## 1422     25    55  1.96         8 Week 8 (study day 50 to 56)  1.96  
## 1423     25    56  1.79         8 Week 8 (study day 50 to 56)  1.96  
## 1424     26     0  5.25         0 Baseline                     5.25  
## 1425     26     1  5.26         1 Week 1 (study day 1 to 7)    4.04  
## 1426     26     2  5.26         1 Week 1 (study day 1 to 7)    4.04  
## 1427     26     3  5.34         1 Week 1 (study day 1 to 7)    4.04  
## 1428     26     4  5.34         1 Week 1 (study day 1 to 7)    4.04  
## 1429     26     5  4.21         1 Week 1 (study day 1 to 7)    4.04  
## 1430     26     6  1.43         1 Week 1 (study day 1 to 7)    4.04  
## 1431     26     7  1.43         1 Week 1 (study day 1 to 7)    4.04  
## 1432     26     8  4            2 Week 2 (study day 8 to 14)   2.99  
## 1433     26     9  2.57         2 Week 2 (study day 8 to 14)   2.99  
## 1434     26    10  2.65         2 Week 2 (study day 8 to 14)   2.99  
## 1435     26    11  0.294        2 Week 2 (study day 8 to 14)   2.99  
## 1436     26    12  3.82         2 Week 2 (study day 8 to 14)   2.99  
## 1437     26    13  3.80         2 Week 2 (study day 8 to 14)   2.99  
## 1438     26    14  3.80         2 Week 2 (study day 8 to 14)   2.99  
## 1439     26    15  3.80         3 Week 3 (study day 15 to 21)  4.26  
## 1440     26    16  5.56         3 Week 3 (study day 15 to 21)  4.26  
## 1441     26    17  5.49         3 Week 3 (study day 15 to 21)  4.26  
## 1442     26    18  3.76         3 Week 3 (study day 15 to 21)  4.26  
## 1443     26    19  3.76         3 Week 3 (study day 15 to 21)  4.26  
## 1444     26    20  3.74         3 Week 3 (study day 15 to 21)  4.26  
## 1445     26    21  3.74         3 Week 3 (study day 15 to 21)  4.26  
## 1446     26    22  3.74         4 Week 4 (study day 22 to 28)  3.60  
## 1447     26    23  3.74         4 Week 4 (study day 22 to 28)  3.60  
## 1448     26    24  3.63         4 Week 4 (study day 22 to 28)  3.60  
## 1449     26    25  3.63         4 Week 4 (study day 22 to 28)  3.60  
## 1450     26    26  3.63         4 Week 4 (study day 22 to 28)  3.60  
## 1451     26    27  3.71         4 Week 4 (study day 22 to 28)  3.60  
## 1452     26    28  3.14         4 Week 4 (study day 22 to 28)  3.60  
## 1453     26    29  3.14         5 Week 5 (study day 29 to 35)  2.79  
## 1454     26    30  3.14         5 Week 5 (study day 29 to 35)  2.79  
## 1455     26    31  3.12         5 Week 5 (study day 29 to 35)  2.79  
## 1456     26    32  2.56         5 Week 5 (study day 29 to 35)  2.79  
## 1457     26    33  2.56         5 Week 5 (study day 29 to 35)  2.79  
## 1458     26    34  2.51         5 Week 5 (study day 29 to 35)  2.79  
## 1459     26    35  2.51         5 Week 5 (study day 29 to 35)  2.79  
## 1460     26    36  2.51         6 Week 6 (study day 36 to 42)  2.29  
## 1461     26    37  2.51         6 Week 6 (study day 36 to 42)  2.29  
## 1462     26    38  2.51         6 Week 6 (study day 36 to 42)  2.29  
## 1463     26    39  2.51         6 Week 6 (study day 36 to 42)  2.29  
## 1464     26    40  1.96         6 Week 6 (study day 36 to 42)  2.29  
## 1465     26    41  2            6 Week 6 (study day 36 to 42)  2.29  
## 1466     26    42  2            6 Week 6 (study day 36 to 42)  2.29  
## 1467     26    43  1.36         7 Week 7 (study day 43 to 49)  1.07  
## 1468     26    44  1.36         7 Week 7 (study day 43 to 49)  1.07  
## 1469     26    45  1.09         7 Week 7 (study day 43 to 49)  1.07  
## 1470     26    46  0.956        7 Week 7 (study day 43 to 49)  1.07  
## 1471     26    47  0.956        7 Week 7 (study day 43 to 49)  1.07  
## 1472     26    48  0.962        7 Week 7 (study day 43 to 49)  1.07  
## 1473     26    49  0.824        7 Week 7 (study day 43 to 49)  1.07  
## 1474     26    50  0.824        8 Week 8 (study day 50 to 56)  0.719 
## 1475     26    51  0.824        8 Week 8 (study day 50 to 56)  0.719 
## 1476     26    52  0.811        8 Week 8 (study day 50 to 56)  0.719 
## 1477     26    53  0.676        8 Week 8 (study day 50 to 56)  0.719 
## 1478     26    54  0.676        8 Week 8 (study day 50 to 56)  0.719 
## 1479     26    55  0.679        8 Week 8 (study day 50 to 56)  0.719 
## 1480     26    56  0.543        8 Week 8 (study day 50 to 56)  0.719 
## 1481     27     0  2.97         0 Baseline                     2.97  
## 1482     27     1  2.97         1 Week 1 (study day 1 to 7)    2.94  
## 1483     27     2  2.97         1 Week 1 (study day 1 to 7)    2.94  
## 1484     27     3  2.97         1 Week 1 (study day 1 to 7)    2.94  
## 1485     27     4  2.97         1 Week 1 (study day 1 to 7)    2.94  
## 1486     27     5  2.97         1 Week 1 (study day 1 to 7)    2.94  
## 1487     27     6  3.64         1 Week 1 (study day 1 to 7)    2.94  
## 1488     27     7  2.08         1 Week 1 (study day 1 to 7)    2.94  
## 1489     27     8  0.667        2 Week 2 (study day 8 to 14)   0.720 
## 1490     27     9  1.25         2 Week 2 (study day 8 to 14)   0.720 
## 1491     27    10  0.625        2 Week 2 (study day 8 to 14)   0.720 
## 1492     27    11  0.625        2 Week 2 (study day 8 to 14)   0.720 
## 1493     27    12  0.625        2 Week 2 (study day 8 to 14)   0.720 
## 1494     27    13  0.625        2 Week 2 (study day 8 to 14)   0.720 
## 1495     27    14  0.625        2 Week 2 (study day 8 to 14)   0.720 
## 1496     27    15  0.606        3 Week 3 (study day 15 to 21)  0.766 
## 1497     27    16  0.606        3 Week 3 (study day 15 to 21)  0.766 
## 1498     27    17  0.606        3 Week 3 (study day 15 to 21)  0.766 
## 1499     27    18  0.625        3 Week 3 (study day 15 to 21)  0.766 
## 1500     27    19  1.25         3 Week 3 (study day 15 to 21)  0.766 
## 1501     27    20  0.625        3 Week 3 (study day 15 to 21)  0.766 
## 1502     27    21  1.04         3 Week 3 (study day 15 to 21)  0.766 
## 1503     27    22  0.408        4 Week 4 (study day 22 to 28)  0.262 
## 1504     27    23  0.663        4 Week 4 (study day 22 to 28)  0.262 
## 1505     27    24  0.255        4 Week 4 (study day 22 to 28)  0.262 
## 1506     27    25  0.255        4 Week 4 (study day 22 to 28)  0.262 
## 1507     27    26  0.255        4 Week 4 (study day 22 to 28)  0.262 
## 1508     27    27  0            4 Week 4 (study day 22 to 28)  0.262 
## 1509     27    28  0            4 Week 4 (study day 22 to 28)  0.262 
## 1510     27    29  0.204        5 Week 5 (study day 29 to 35)  0.204 
## 1511     27    30  0.204        5 Week 5 (study day 29 to 35)  0.204 
## 1512     27    31  0.204        5 Week 5 (study day 29 to 35)  0.204 
## 1513     27    32  0.204        5 Week 5 (study day 29 to 35)  0.204 
## 1514     27    33  0.204        5 Week 5 (study day 29 to 35)  0.204 
## 1515     27    34  0.204        5 Week 5 (study day 29 to 35)  0.204 
## 1516     27    35  0.204        5 Week 5 (study day 29 to 35)  0.204 
## 1517     27    36  0.204        6 Week 6 (study day 36 to 42)  0.175 
## 1518     27    37  0.204        6 Week 6 (study day 36 to 42)  0.175 
## 1519     27    38  0.204        6 Week 6 (study day 36 to 42)  0.175 
## 1520     27    39  0.204        6 Week 6 (study day 36 to 42)  0.175 
## 1521     27    40  0.204        6 Week 6 (study day 36 to 42)  0.175 
## 1522     27    41  0.204        6 Week 6 (study day 36 to 42)  0.175 
## 1523     27    42  0            6 Week 6 (study day 36 to 42)  0.175 
## 1524     27    43  0            7 Week 7 (study day 43 to 49)  0.0377
## 1525     27    44  0            7 Week 7 (study day 43 to 49)  0.0377
## 1526     27    45  0            7 Week 7 (study day 43 to 49)  0.0377
## 1527     27    46  0            7 Week 7 (study day 43 to 49)  0.0377
## 1528     27    47  0            7 Week 7 (study day 43 to 49)  0.0377
## 1529     27    48  0.132        7 Week 7 (study day 43 to 49)  0.0377
## 1530     27    49  0.132        7 Week 7 (study day 43 to 49)  0.0377
## 1531     27    50  0.132        8 Week 8 (study day 50 to 56)  0.156 
## 1532     27    51  0.132        8 Week 8 (study day 50 to 56)  0.156 
## 1533     27    52  0.135        8 Week 8 (study day 50 to 56)  0.156 
## 1534     27    53  0.135        8 Week 8 (study day 50 to 56)  0.156 
## 1535     27    54  0.231        8 Week 8 (study day 50 to 56)  0.156 
## 1536     27    55  0.231        8 Week 8 (study day 50 to 56)  0.156 
## 1537     27    56  0.0962       8 Week 8 (study day 50 to 56)  0.156 
## 1538     28     0 37.5          0 Baseline                    37.5   
## 1539     28     1 37.5          1 Week 1 (study day 1 to 7)   22.6   
## 1540     28     2 37.5          1 Week 1 (study day 1 to 7)   22.6   
## 1541     28     3 37.5          1 Week 1 (study day 1 to 7)   22.6   
## 1542     28     4 39.7          1 Week 1 (study day 1 to 7)   22.6   
## 1543     28     5  2.16         1 Week 1 (study day 1 to 7)   22.6   
## 1544     28     6  1.88         1 Week 1 (study day 1 to 7)   22.6   
## 1545     28     7  1.88         1 Week 1 (study day 1 to 7)   22.6   
## 1546     28     8  1.88         2 Week 2 (study day 8 to 14)   1.81  
## 1547     28     9  1.86         2 Week 2 (study day 8 to 14)   1.81  
## 1548     28    10  1.86         2 Week 2 (study day 8 to 14)   1.81  
## 1549     28    11  1.86         2 Week 2 (study day 8 to 14)   1.81  
## 1550     28    12  1.88         2 Week 2 (study day 8 to 14)   1.81  
## 1551     28    13  1.67         2 Week 2 (study day 8 to 14)   1.81  
## 1552     28    14  1.67         2 Week 2 (study day 8 to 14)   1.81  
## 1553     28    15  1.65         3 Week 3 (study day 15 to 21)  1.65  
## 1554     28    16  1.65         3 Week 3 (study day 15 to 21)  1.65  
## 1555     28    17  1.65         3 Week 3 (study day 15 to 21)  1.65  
## 1556     28    18  1.65         3 Week 3 (study day 15 to 21)  1.65  
## 1557     28    19  1.65         3 Week 3 (study day 15 to 21)  1.65  
## 1558     28    20  1.65         3 Week 3 (study day 15 to 21)  1.65  
## 1559     28    21  1.65         3 Week 3 (study day 15 to 21)  1.65  
## 1560     28    22  1.68         4 Week 4 (study day 22 to 28)  1.68  
## 1561     28    23  1.68         4 Week 4 (study day 22 to 28)  1.68  
## 1562     28    24  1.68         4 Week 4 (study day 22 to 28)  1.68  
## 1563     28    25  1.68         4 Week 4 (study day 22 to 28)  1.68  
## 1564     28    26  1.68         4 Week 4 (study day 22 to 28)  1.68  
## 1565     28    27  1.68         4 Week 4 (study day 22 to 28)  1.68  
## 1566     28    28  1.68         4 Week 4 (study day 22 to 28)  1.68  
## 1567     28    29  1.68         5 Week 5 (study day 29 to 35)  1.68  
## 1568     28    30  1.68         5 Week 5 (study day 29 to 35)  1.68  
## 1569     28    31  1.68         5 Week 5 (study day 29 to 35)  1.68  
## 1570     28    32  1.68         5 Week 5 (study day 29 to 35)  1.68  
## 1571     28    33  1.68         5 Week 5 (study day 29 to 35)  1.68  
## 1572     28    34  1.68         5 Week 5 (study day 29 to 35)  1.68  
## 1573     28    35  1.68         5 Week 5 (study day 29 to 35)  1.68  
## 1574     28    36  1.68         6 Week 6 (study day 36 to 42)  1.53  
## 1575     28    37  1.68         6 Week 6 (study day 36 to 42)  1.53  
## 1576     28    38  1.47         6 Week 6 (study day 36 to 42)  1.53  
## 1577     28    39  1.47         6 Week 6 (study day 36 to 42)  1.53  
## 1578     28    40  1.47         6 Week 6 (study day 36 to 42)  1.53  
## 1579     28    41  1.47         6 Week 6 (study day 36 to 42)  1.53  
## 1580     28    42  1.45         6 Week 6 (study day 36 to 42)  1.53  
## 1581     28    43  1.45         7 Week 7 (study day 43 to 49)  1.32  
## 1582     28    44  1.45         7 Week 7 (study day 43 to 49)  1.32  
## 1583     28    45  1.45         7 Week 7 (study day 43 to 49)  1.32  
## 1584     28    46  1.24         7 Week 7 (study day 43 to 49)  1.32  
## 1585     28    47  1.24         7 Week 7 (study day 43 to 49)  1.32  
## 1586     28    48  1.21         7 Week 7 (study day 43 to 49)  1.32  
## 1587     28    49  1.21         7 Week 7 (study day 43 to 49)  1.32  
## 1588     28    50  1.21         8 Week 8 (study day 50 to 56)  1.10  
## 1589     28    51  1.21         8 Week 8 (study day 50 to 56)  1.10  
## 1590     28    52  1.21         8 Week 8 (study day 50 to 56)  1.10  
## 1591     28    53  1.01         8 Week 8 (study day 50 to 56)  1.10  
## 1592     28    54  1.01         8 Week 8 (study day 50 to 56)  1.10  
## 1593     28    55  1.01         8 Week 8 (study day 50 to 56)  1.10  
## 1594     28    56  1.03         8 Week 8 (study day 50 to 56)  1.10  
## 1595     29     0 37.5          0 Baseline                    37.5   
## 1596     29     1 37.5          1 Week 1 (study day 1 to 7)   12.4   
## 1597     29     2 39.4          1 Week 1 (study day 1 to 7)   12.4   
## 1598     29     3  1.94         1 Week 1 (study day 1 to 7)   12.4   
## 1599     29     4  1.94         1 Week 1 (study day 1 to 7)   12.4   
## 1600     29     5  1.94         1 Week 1 (study day 1 to 7)   12.4   
## 1601     29     6  1.86         1 Week 1 (study day 1 to 7)   12.4   
## 1602     29     7  1.86         1 Week 1 (study day 1 to 7)   12.4   
## 1603     29     8  1.86         2 Week 2 (study day 8 to 14)  22.8   
## 1604     29     9  1.86         2 Week 2 (study day 8 to 14)  22.8   
## 1605     29    10  1.86         2 Week 2 (study day 8 to 14)  22.8   
## 1606     29    11 39.4          2 Week 2 (study day 8 to 14)  22.8   
## 1607     29    12 39.4          2 Week 2 (study day 8 to 14)  22.8   
## 1608     29    13 37.5          2 Week 2 (study day 8 to 14)  22.8   
## 1609     29    14 37.5          2 Week 2 (study day 8 to 14)  22.8   
## 1610     29    15 37.5          3 Week 3 (study day 15 to 21)  7.40  
## 1611     29    16  2.32         3 Week 3 (study day 15 to 21)  7.40  
## 1612     29    17  2.37         3 Week 3 (study day 15 to 21)  7.40  
## 1613     29    18  2.37         3 Week 3 (study day 15 to 21)  7.40  
## 1614     29    19  2.37         3 Week 3 (study day 15 to 21)  7.40  
## 1615     29    20  2.44         3 Week 3 (study day 15 to 21)  7.40  
## 1616     29    21  2.44         3 Week 3 (study day 15 to 21)  7.40  
## 1617     29    22  2.44         4 Week 4 (study day 22 to 28) 23.7   
## 1618     29    23  2.27         4 Week 4 (study day 22 to 28) 23.7   
## 1619     29    24  2.27         4 Week 4 (study day 22 to 28) 23.7   
## 1620     29    25 39.8          4 Week 4 (study day 22 to 28) 23.7   
## 1621     29    26 39.8          4 Week 4 (study day 22 to 28) 23.7   
## 1622     29    27 39.8          4 Week 4 (study day 22 to 28) 23.7   
## 1623     29    28 39.8          4 Week 4 (study day 22 to 28) 23.7   
## 1624     29    29  2.25         5 Week 5 (study day 29 to 35)  2.25  
## 1625     29    30  2.25         5 Week 5 (study day 29 to 35)  2.25  
## 1626     29    31  2.25         5 Week 5 (study day 29 to 35)  2.25  
## 1627     29    32  2.26         5 Week 5 (study day 29 to 35)  2.25  
## 1628     29    33  2.26         5 Week 5 (study day 29 to 35)  2.25  
## 1629     29    34  2.26         5 Week 5 (study day 29 to 35)  2.25  
## 1630     29    35  2.20         5 Week 5 (study day 29 to 35)  2.25  
## 1631     29    36  2.20         6 Week 6 (study day 36 to 42)  2.16  
## 1632     29    37  2.20         6 Week 6 (study day 36 to 42)  2.16  
## 1633     29    38  2.15         6 Week 6 (study day 36 to 42)  2.16  
## 1634     29    39  2.15         6 Week 6 (study day 36 to 42)  2.16  
## 1635     29    40  2.15         6 Week 6 (study day 36 to 42)  2.16  
## 1636     29    41  2.15         6 Week 6 (study day 36 to 42)  2.16  
## 1637     29    42  2.15         6 Week 6 (study day 36 to 42)  2.16  
## 1638     29    43  2.15         7 Week 7 (study day 43 to 49)  2.12  
## 1639     29    44  2.15         7 Week 7 (study day 43 to 49)  2.12  
## 1640     29    45  2.15         7 Week 7 (study day 43 to 49)  2.12  
## 1641     29    46  2.15         7 Week 7 (study day 43 to 49)  2.12  
## 1642     29    47  2.15         7 Week 7 (study day 43 to 49)  2.12  
## 1643     29    48  2.15         7 Week 7 (study day 43 to 49)  2.12  
## 1644     29    49  1.98         7 Week 7 (study day 43 to 49)  2.12  
## 1645     29    50  1.98         8 Week 8 (study day 50 to 56)  1.98  
## 1646     29    51  3.63         8 Week 8 (study day 50 to 56)  1.98  
## 1647     29    52  1.65         8 Week 8 (study day 50 to 56)  1.98  
## 1648     29    53  1.65         8 Week 8 (study day 50 to 56)  1.98  
## 1649     29    54  1.65         8 Week 8 (study day 50 to 56)  1.98  
## 1650     29    55  1.65         8 Week 8 (study day 50 to 56)  1.98  
## 1651     29    56  1.65         8 Week 8 (study day 50 to 56)  1.98  
## 1652     30     0 32.1          0 Baseline                    32.1   
## 1653     30     1 32.1          1 Week 1 (study day 1 to 7)    2.76  
## 1654     30     2  2.88         1 Week 1 (study day 1 to 7)    2.76  
## 1655     30     3  2.78         1 Week 1 (study day 1 to 7)    2.76  
## 1656     30     4  2.78         1 Week 1 (study day 1 to 7)    2.76  
## 1657     30     5  2.78         1 Week 1 (study day 1 to 7)    2.76  
## 1658     30     6  2.80         1 Week 1 (study day 1 to 7)    2.76  
## 1659     30     7  2.64         1 Week 1 (study day 1 to 7)    2.76  
## 1660     30     8  2.64         2 Week 2 (study day 8 to 14)   2.44  
## 1661     30     9  2.62         2 Week 2 (study day 8 to 14)   2.44  
## 1662     30    10  2.45         2 Week 2 (study day 8 to 14)   2.44  
## 1663     30    11  2.45         2 Week 2 (study day 8 to 14)   2.44  
## 1664     30    12  2.40         2 Week 2 (study day 8 to 14)   2.44  
## 1665     30    13  2.24         2 Week 2 (study day 8 to 14)   2.44  
## 1666     30    14  2.24         2 Week 2 (study day 8 to 14)   2.44  
## 1667     30    15  2.33         3 Week 3 (study day 15 to 21)  2.11  
## 1668     30    16  2.17         3 Week 3 (study day 15 to 21)  2.11  
## 1669     30    17  2.17         3 Week 3 (study day 15 to 21)  2.11  
## 1670     30    18  2.14         3 Week 3 (study day 15 to 21)  2.11  
## 1671     30    19  1.98         3 Week 3 (study day 15 to 21)  2.11  
## 1672     30    20  1.98         3 Week 3 (study day 15 to 21)  2.11  
## 1673     30    21  1.98         3 Week 3 (study day 15 to 21)  2.11  
## 1674     30    22  1.98         4 Week 4 (study day 22 to 28)  1.57  
## 1675     30    23  0            4 Week 4 (study day 22 to 28)  1.57  
## 1676     30    24  1.81         4 Week 4 (study day 22 to 28)  1.57  
## 1677     30    25  1.81         4 Week 4 (study day 22 to 28)  1.57  
## 1678     30    26  1.81         4 Week 4 (study day 22 to 28)  1.57  
## 1679     30    27  1.81         4 Week 4 (study day 22 to 28)  1.57  
## 1680     30    28  1.79         4 Week 4 (study day 22 to 28)  1.57  
## 1681     30    29  1.62         5 Week 5 (study day 29 to 35)  1.52  
## 1682     30    30  1.62         5 Week 5 (study day 29 to 35)  1.52  
## 1683     30    31  1.62         5 Week 5 (study day 29 to 35)  1.52  
## 1684     30    32  1.46         5 Week 5 (study day 29 to 35)  1.52  
## 1685     30    33  1.46         5 Week 5 (study day 29 to 35)  1.52  
## 1686     30    34  1.44         5 Week 5 (study day 29 to 35)  1.52  
## 1687     30    35  1.44         5 Week 5 (study day 29 to 35)  1.52  
## 1688     30    36  1.44         6 Week 6 (study day 36 to 42)  1.28  
## 1689     30    37  1.28         6 Week 6 (study day 36 to 42)  1.28  
## 1690     30    38  1.28         6 Week 6 (study day 36 to 42)  1.28  
## 1691     30    39  1.28         6 Week 6 (study day 36 to 42)  1.28  
## 1692     30    40  1.28         6 Week 6 (study day 36 to 42)  1.28  
## 1693     30    41  1.27         6 Week 6 (study day 36 to 42)  1.28  
## 1694     30    42  1.11         6 Week 6 (study day 36 to 42)  1.28  
## 1695     30    43  1.11         7 Week 7 (study day 43 to 49)  0.996 
## 1696     30    44  1.11         7 Week 7 (study day 43 to 49)  0.996 
## 1697     30    45  0.952        7 Week 7 (study day 43 to 49)  0.996 
## 1698     30    46  0.952        7 Week 7 (study day 43 to 49)  0.996 
## 1699     30    47  0.952        7 Week 7 (study day 43 to 49)  0.996 
## 1700     30    48  0.949        7 Week 7 (study day 43 to 49)  0.996 
## 1701     30    49  0.949        7 Week 7 (study day 43 to 49)  0.996 
## 1702     30    50  0.791        8 Week 8 (study day 50 to 56)  0.744 
## 1703     30    51  0.791        8 Week 8 (study day 50 to 56)  0.744 
## 1704     30    52  0.791        8 Week 8 (study day 50 to 56)  0.744 
## 1705     30    53  0.791        8 Week 8 (study day 50 to 56)  0.744 
## 1706     30    54  0.791        8 Week 8 (study day 50 to 56)  0.744 
## 1707     30    55  0.633        8 Week 8 (study day 50 to 56)  0.744 
## 1708     30    56  0.622        8 Week 8 (study day 50 to 56)  0.744 
## 1709     31     0  2.06         0 Baseline                     2.06  
## 1710     31     1  2.08         1 Week 1 (study day 1 to 7)    2.08  
## 1711     31     2  2.08         1 Week 1 (study day 1 to 7)    2.08  
## 1712     31     3  2.08         1 Week 1 (study day 1 to 7)    2.08  
## 1713     31     4  2.08         1 Week 1 (study day 1 to 7)    2.08  
## 1714     31     5  2.08         1 Week 1 (study day 1 to 7)    2.08  
## 1715     31     6  2.08         1 Week 1 (study day 1 to 7)    2.08  
## 1716     31     7  2.08         1 Week 1 (study day 1 to 7)    2.08  
## 1717     31     8  2.08         2 Week 2 (study day 8 to 14)   2.04  
## 1718     31     9  2.08         2 Week 2 (study day 8 to 14)   2.04  
## 1719     31    10  3.75         2 Week 2 (study day 8 to 14)   2.04  
## 1720     31    11  1.67         2 Week 2 (study day 8 to 14)   2.04  
## 1721     31    12  1.67         2 Week 2 (study day 8 to 14)   2.04  
## 1722     31    13  1.5          2 Week 2 (study day 8 to 14)   2.04  
## 1723     31    14  1.5          2 Week 2 (study day 8 to 14)   2.04  
## 1724     31    15  1.5          3 Week 3 (study day 15 to 21)  1.30  
## 1725     31    16  1.33         3 Week 3 (study day 15 to 21)  1.30  
## 1726     31    17  1.33         3 Week 3 (study day 15 to 21)  1.30  
## 1727     31    18  1.33         3 Week 3 (study day 15 to 21)  1.30  
## 1728     31    19  1.30         3 Week 3 (study day 15 to 21)  1.30  
## 1729     31    20  1.14         3 Week 3 (study day 15 to 21)  1.30  
## 1730     31    21  1.14         3 Week 3 (study day 15 to 21)  1.30  
## 1731     31    22  1.13         4 Week 4 (study day 22 to 28)  1.01  
## 1732     31    23  1.13         4 Week 4 (study day 22 to 28)  1.01  
## 1733     31    24  1.13         4 Week 4 (study day 22 to 28)  1.01  
## 1734     31    25  0.968        4 Week 4 (study day 22 to 28)  1.01  
## 1735     31    26  0.962        4 Week 4 (study day 22 to 28)  1.01  
## 1736     31    27  0.962        4 Week 4 (study day 22 to 28)  1.01  
## 1737     31    28  0.801        4 Week 4 (study day 22 to 28)  1.01  
## 1738     31    29  0.781        5 Week 5 (study day 29 to 35)  0.781 
## 1739     31    30  0.781        5 Week 5 (study day 29 to 35)  0.781 
## 1740     31    31  1.41         5 Week 5 (study day 29 to 35)  0.781 
## 1741     31    32  0.625        5 Week 5 (study day 29 to 35)  0.781 
## 1742     31    33  0.625        5 Week 5 (study day 29 to 35)  0.781 
## 1743     31    34  0.623        5 Week 5 (study day 29 to 35)  0.781 
## 1744     31    35  0.623        5 Week 5 (study day 29 to 35)  0.781 
## 1745     31    36  0.467        6 Week 6 (study day 36 to 42)  0.414 
## 1746     31    37  0.467        6 Week 6 (study day 36 to 42)  0.414 
## 1747     31    38  0.467        6 Week 6 (study day 36 to 42)  0.414 
## 1748     31    39  0.467        6 Week 6 (study day 36 to 42)  0.414 
## 1749     31    40  0.467        6 Week 6 (study day 36 to 42)  0.414 
## 1750     31    41  0.282        6 Week 6 (study day 36 to 42)  0.414 
## 1751     31    42  0.282        6 Week 6 (study day 36 to 42)  0.414 
## 1752     31    43  0.282        7 Week 7 (study day 43 to 49)  0.258 
## 1753     31    44  0.282        7 Week 7 (study day 43 to 49)  0.258 
## 1754     31    45  0.282        7 Week 7 (study day 43 to 49)  0.258 
## 1755     31    46  0.282        7 Week 7 (study day 43 to 49)  0.258 
## 1756     31    47  0.227        7 Week 7 (study day 43 to 49)  0.258 
## 1757     31    48  0.227        7 Week 7 (study day 43 to 49)  0.258 
## 1758     31    49  0.227        7 Week 7 (study day 43 to 49)  0.258 
## 1759     31    50  0.227        8 Week 8 (study day 50 to 56)  0.227 
## 1760     31    51  0.227        8 Week 8 (study day 50 to 56)  0.227 
## 1761     31    52  0.227        8 Week 8 (study day 50 to 56)  0.227 
## 1762     31    53  0.227        8 Week 8 (study day 50 to 56)  0.227 
## 1763     31    54  0.227        8 Week 8 (study day 50 to 56)  0.227 
## 1764     31    55  0.227        8 Week 8 (study day 50 to 56)  0.227 
## 1765     31    56  0.227        8 Week 8 (study day 50 to 56)  0.227 
## 1766     32     0 17.9          0 Baseline                    17.9   
## 1767     32     1 17.9          1 Week 1 (study day 1 to 7)   13.1   
## 1768     32     2 17.9          1 Week 1 (study day 1 to 7)   13.1   
## 1769     32     3 17.9          1 Week 1 (study day 1 to 7)   13.1   
## 1770     32     4 17.9          1 Week 1 (study day 1 to 7)   13.1   
## 1771     32     5  8.93         1 Week 1 (study day 1 to 7)   13.1   
## 1772     32     6  8.93         1 Week 1 (study day 1 to 7)   13.1   
## 1773     32     7  2.68         1 Week 1 (study day 1 to 7)   13.1   
## 1774     32     8  2.68         2 Week 2 (study day 8 to 14)   2.68  
## 1775     32     9  2.68         2 Week 2 (study day 8 to 14)   2.68  
## 1776     32    10  2.68         2 Week 2 (study day 8 to 14)   2.68  
## 1777     32    11  2.68         2 Week 2 (study day 8 to 14)   2.68  
## 1778     32    12  2.68         2 Week 2 (study day 8 to 14)   2.68  
## 1779     32    13  2.68         2 Week 2 (study day 8 to 14)   2.68  
## 1780     32    14  2.68         2 Week 2 (study day 8 to 14)   2.68  
## 1781     32    15  2.68         3 Week 3 (study day 15 to 21)  2.45  
## 1782     32    16  2.5          3 Week 3 (study day 15 to 21)  2.45  
## 1783     32    17  2.5          3 Week 3 (study day 15 to 21)  2.45  
## 1784     32    18  2.5          3 Week 3 (study day 15 to 21)  2.45  
## 1785     32    19  2.32         3 Week 3 (study day 15 to 21)  2.45  
## 1786     32    20  2.32         3 Week 3 (study day 15 to 21)  2.45  
## 1787     32    21  2.32         3 Week 3 (study day 15 to 21)  2.45  
## 1788     32    22  2.32         4 Week 4 (study day 22 to 28)  2.07  
## 1789     32    23  2.14         4 Week 4 (study day 22 to 28)  2.07  
## 1790     32    24  2.14         4 Week 4 (study day 22 to 28)  2.07  
## 1791     32    25  2.14         4 Week 4 (study day 22 to 28)  2.07  
## 1792     32    26  1.96         4 Week 4 (study day 22 to 28)  2.07  
## 1793     32    27  1.96         4 Week 4 (study day 22 to 28)  2.07  
## 1794     32    28  1.79         4 Week 4 (study day 22 to 28)  2.07  
## 1795     32    29  1.79         5 Week 5 (study day 29 to 35)  1.71  
## 1796     32    30  1.79         5 Week 5 (study day 29 to 35)  1.71  
## 1797     32    31  1.79         5 Week 5 (study day 29 to 35)  1.71  
## 1798     32    32  1.79         5 Week 5 (study day 29 to 35)  1.71  
## 1799     32    33  1.61         5 Week 5 (study day 29 to 35)  1.71  
## 1800     32    34  1.61         5 Week 5 (study day 29 to 35)  1.71  
## 1801     32    35  1.61         5 Week 5 (study day 29 to 35)  1.71  
## 1802     32    36  1.61         6 Week 6 (study day 36 to 42)  1.48  
## 1803     32    37  1.61         6 Week 6 (study day 36 to 42)  1.48  
## 1804     32    38  1.43         6 Week 6 (study day 36 to 42)  1.48  
## 1805     32    39  1.43         6 Week 6 (study day 36 to 42)  1.48  
## 1806     32    40  1.43         6 Week 6 (study day 36 to 42)  1.48  
## 1807     32    41  1.43         6 Week 6 (study day 36 to 42)  1.48  
## 1808     32    42  1.43         6 Week 6 (study day 36 to 42)  1.48  
## 1809     32    43  1.25         7 Week 7 (study day 43 to 49)  1.22  
## 1810     32    44  1.25         7 Week 7 (study day 43 to 49)  1.22  
## 1811     32    45  1.25         7 Week 7 (study day 43 to 49)  1.22  
## 1812     32    46  1.25         7 Week 7 (study day 43 to 49)  1.22  
## 1813     32    47  1.25         7 Week 7 (study day 43 to 49)  1.22  
## 1814     32    48  1.16         7 Week 7 (study day 43 to 49)  1.22  
## 1815     32    49  1.16         7 Week 7 (study day 43 to 49)  1.22  
## 1816     32    50  1.16         8 Week 8 (study day 50 to 56)  1.08  
## 1817     32    51  1.07         8 Week 8 (study day 50 to 56)  1.08  
## 1818     32    52  1.07         8 Week 8 (study day 50 to 56)  1.08  
## 1819     32    53  1.07         8 Week 8 (study day 50 to 56)  1.08  
## 1820     32    54  1.07         8 Week 8 (study day 50 to 56)  1.08  
## 1821     32    55  1.07         8 Week 8 (study day 50 to 56)  1.08  
## 1822     32    56  1.07         8 Week 8 (study day 50 to 56)  1.08  
## 1823     33     0  0            0 Baseline                     0     
## 1824     33     1 17.6          1 Week 1 (study day 1 to 7)    1.89  
## 1825     33     2 17.6          1 Week 1 (study day 1 to 7)    1.89  
## 1826     33     3 17.6          1 Week 1 (study day 1 to 7)    1.89  
## 1827     33     4  0            1 Week 1 (study day 1 to 7)    1.89  
## 1828     33     5 10.8          1 Week 1 (study day 1 to 7)    1.89  
## 1829     33     6 10.8          1 Week 1 (study day 1 to 7)    1.89  
## 1830     33     7  1.94         1 Week 1 (study day 1 to 7)    1.89  
## 1831     33     8  1.94         2 Week 2 (study day 8 to 14)   1.63  
## 1832     33     9  1.94         2 Week 2 (study day 8 to 14)   1.63  
## 1833     33    10  1.94         2 Week 2 (study day 8 to 14)   1.63  
## 1834     33    11  1.94         2 Week 2 (study day 8 to 14)   1.63  
## 1835     33    12  1.93         2 Week 2 (study day 8 to 14)   1.63  
## 1836     33    13  1.93         2 Week 2 (study day 8 to 14)   1.63  
## 1837     33    14  1.93         2 Week 2 (study day 8 to 14)   1.63  
## 1838     33    15  1.93         3 Week 3 (study day 15 to 21)  1.27  
## 1839     33    16  1.93         3 Week 3 (study day 15 to 21)  1.27  
## 1840     33    17  1.93         3 Week 3 (study day 15 to 21)  1.27  
## 1841     33    18  1.93         3 Week 3 (study day 15 to 21)  1.27  
## 1842     33    19  1.93         3 Week 3 (study day 15 to 21)  1.27  
## 1843     33    20  1.92         3 Week 3 (study day 15 to 21)  1.27  
## 1844     33    21  1.92         3 Week 3 (study day 15 to 21)  1.27  
## 1845     33    22  1.26         4 Week 4 (study day 22 to 28)  1.30  
## 1846     33    23  1.26         4 Week 4 (study day 22 to 28)  1.30  
## 1847     33    24  1.19         4 Week 4 (study day 22 to 28)  1.30  
## 1848     33    25  2.24         4 Week 4 (study day 22 to 28)  1.30  
## 1849     33    26  1.04         4 Week 4 (study day 22 to 28)  1.30  
## 1850     33    27  1.04         4 Week 4 (study day 22 to 28)  1.30  
## 1851     33    28  1.04         4 Week 4 (study day 22 to 28)  1.30  
## 1852     33    29  1.04         5 Week 5 (study day 29 to 35)  1.05  
## 1853     33    30  1.04         5 Week 5 (study day 29 to 35)  1.05  
## 1854     33    31  1.04         5 Week 5 (study day 29 to 35)  1.05  
## 1855     33    32  1.04         5 Week 5 (study day 29 to 35)  1.05  
## 1856     33    33  1.06         5 Week 5 (study day 29 to 35)  1.05  
## 1857     33    34  1.06         5 Week 5 (study day 29 to 35)  1.05  
## 1858     33    35  1.06         5 Week 5 (study day 29 to 35)  1.05  
## 1859     33    36  0.909        6 Week 6 (study day 36 to 42)  0.909 
## 1860     33    37  0.909        6 Week 6 (study day 36 to 42)  0.909 
## 1861     33    38  0.909        6 Week 6 (study day 36 to 42)  0.909 
## 1862     33    39  0.909        6 Week 6 (study day 36 to 42)  0.909 
## 1863     33    40  0.909        6 Week 6 (study day 36 to 42)  0.909 
## 1864     33    41  0.909        6 Week 6 (study day 36 to 42)  0.909 
## 1865     33    42  0.909        6 Week 6 (study day 36 to 42)  0.909 
## 1866     33    43  0.758        7 Week 7 (study day 43 to 49)  0.731 
## 1867     33    44  0.758        7 Week 7 (study day 43 to 49)  0.731 
## 1868     33    45  0.758        7 Week 7 (study day 43 to 49)  0.731 
## 1869     33    46  0.758        7 Week 7 (study day 43 to 49)  0.731 
## 1870     33    47  0.696        7 Week 7 (study day 43 to 49)  0.731 
## 1871     33    48  0.696        7 Week 7 (study day 43 to 49)  0.731 
## 1872     33    49  0.696        7 Week 7 (study day 43 to 49)  0.731 
## 1873     33    50  0.696        8 Week 8 (study day 50 to 56)  0.577 
## 1874     33    51  0.557        8 Week 8 (study day 50 to 56)  0.577 
## 1875     33    52  0.557        8 Week 8 (study day 50 to 56)  0.577 
## 1876     33    53  0.557        8 Week 8 (study day 50 to 56)  0.577 
## 1877     33    54  0.557        8 Week 8 (study day 50 to 56)  0.577 
## 1878     33    55  0.557        8 Week 8 (study day 50 to 56)  0.577 
## 1879     33    56  0.557        8 Week 8 (study day 50 to 56)  0.577 
## 1880     34     0  3.18         0 Baseline                     3.18  
## 1881     34     1  3.18         1 Week 1 (study day 1 to 7)    3.19  
## 1882     34     2  3.18         1 Week 1 (study day 1 to 7)    3.19  
## 1883     34     3  3.17         1 Week 1 (study day 1 to 7)    3.19  
## 1884     34     4  3.17         1 Week 1 (study day 1 to 7)    3.19  
## 1885     34     5  3.17         1 Week 1 (study day 1 to 7)    3.19  
## 1886     34     6  3.21         1 Week 1 (study day 1 to 7)    3.19  
## 1887     34     7  3.21         1 Week 1 (study day 1 to 7)    3.19  
## 1888     34     8  3.21         2 Week 2 (study day 8 to 14)   2.79  
## 1889     34     9  3.21         2 Week 2 (study day 8 to 14)   2.79  
## 1890     34    10  3.79         2 Week 2 (study day 8 to 14)   2.79  
## 1891     34    11  2.33         2 Week 2 (study day 8 to 14)   2.79  
## 1892     34    12  2.33         2 Week 2 (study day 8 to 14)   2.79  
## 1893     34    13  2.33         2 Week 2 (study day 8 to 14)   2.79  
## 1894     34    14  2.33         2 Week 2 (study day 8 to 14)   2.79  
## 1895     34    15  2.33         3 Week 3 (study day 15 to 21)  2.33  
## 1896     34    16  2.33         3 Week 3 (study day 15 to 21)  2.33  
## 1897     34    17  2.33         3 Week 3 (study day 15 to 21)  2.33  
## 1898     34    18  2.33         3 Week 3 (study day 15 to 21)  2.33  
## 1899     34    19  2.33         3 Week 3 (study day 15 to 21)  2.33  
## 1900     34    20  2.33         3 Week 3 (study day 15 to 21)  2.33  
## 1901     34    21  2.33         3 Week 3 (study day 15 to 21)  2.33  
## 1902     34    22  2.35         4 Week 4 (study day 22 to 28)  2.35  
## 1903     34    23  2.35         4 Week 4 (study day 22 to 28)  2.35  
## 1904     34    24  2.35         4 Week 4 (study day 22 to 28)  2.35  
## 1905     34    25  2.35         4 Week 4 (study day 22 to 28)  2.35  
## 1906     34    26  2.35         4 Week 4 (study day 22 to 28)  2.35  
## 1907     34    27  2.35         4 Week 4 (study day 22 to 28)  2.35  
## 1908     34    28  2.35         4 Week 4 (study day 22 to 28)  2.35  
## 1909     34    29  4.40         5 Week 5 (study day 29 to 35)  2.22  
## 1910     34    30  2.05         5 Week 5 (study day 29 to 35)  2.22  
## 1911     34    31  2.05         5 Week 5 (study day 29 to 35)  2.22  
## 1912     34    32  1.76         5 Week 5 (study day 29 to 35)  2.22  
## 1913     34    33  1.76         5 Week 5 (study day 29 to 35)  2.22  
## 1914     34    34  1.76         5 Week 5 (study day 29 to 35)  2.22  
## 1915     34    35  1.76         5 Week 5 (study day 29 to 35)  2.22  
## 1916     34    36  1.76         6 Week 6 (study day 36 to 42)  1.70  
## 1917     34    37  1.76         6 Week 6 (study day 36 to 42)  1.70  
## 1918     34    38  1.76         6 Week 6 (study day 36 to 42)  1.70  
## 1919     34    39  1.73         6 Week 6 (study day 36 to 42)  1.70  
## 1920     34    40  1.73         6 Week 6 (study day 36 to 42)  1.70  
## 1921     34    41  1.73         6 Week 6 (study day 36 to 42)  1.70  
## 1922     34    42  1.44         6 Week 6 (study day 36 to 42)  1.70  
## 1923     34    43  1.44         7 Week 7 (study day 43 to 49)  1.23  
## 1924     34    44  1.44         7 Week 7 (study day 43 to 49)  1.23  
## 1925     34    45  1.44         7 Week 7 (study day 43 to 49)  1.23  
## 1926     34    46  1.43         7 Week 7 (study day 43 to 49)  1.23  
## 1927     34    47  1.43         7 Week 7 (study day 43 to 49)  1.23  
## 1928     34    48  1.43         7 Week 7 (study day 43 to 49)  1.23  
## 1929     34    49  0            7 Week 7 (study day 43 to 49)  1.23  
## 1930     34    50  0.765        8 Week 8 (study day 50 to 56)  0.756 
## 1931     34    51  0.765        8 Week 8 (study day 50 to 56)  0.756 
## 1932     34    52  0.765        8 Week 8 (study day 50 to 56)  0.756 
## 1933     34    53  0.749        8 Week 8 (study day 50 to 56)  0.756 
## 1934     34    54  0.749        8 Week 8 (study day 50 to 56)  0.756 
## 1935     34    55  0.749        8 Week 8 (study day 50 to 56)  0.756 
## 1936     34    56  0.749        8 Week 8 (study day 50 to 56)  0.756 
## 1937     35     0  1.44         0 Baseline                     1.44  
## 1938     35     1  3.25         1 Week 1 (study day 1 to 7)    3.26  
## 1939     35     2  3.25         1 Week 1 (study day 1 to 7)    3.26  
## 1940     35     3  3.26         1 Week 1 (study day 1 to 7)    3.26  
## 1941     35     4  3.26         1 Week 1 (study day 1 to 7)    3.26  
## 1942     35     5  3.26         1 Week 1 (study day 1 to 7)    3.26  
## 1943     35     6  3.26         1 Week 1 (study day 1 to 7)    3.26  
## 1944     35     7  3.26         1 Week 1 (study day 1 to 7)    3.26  
## 1945     35     8  3.28         2 Week 2 (study day 8 to 14)   3.09  
## 1946     35     9  3.28         2 Week 2 (study day 8 to 14)   3.09  
## 1947     35    10  3.28         2 Week 2 (study day 8 to 14)   3.09  
## 1948     35    11  3.28         2 Week 2 (study day 8 to 14)   3.09  
## 1949     35    12  3.28         2 Week 2 (study day 8 to 14)   3.09  
## 1950     35    13  3.28         2 Week 2 (study day 8 to 14)   3.09  
## 1951     35    14  1.95         2 Week 2 (study day 8 to 14)   3.09  
## 1952     35    15  1.95         3 Week 3 (study day 15 to 21)  1.83  
## 1953     35    16  1.95         3 Week 3 (study day 15 to 21)  1.83  
## 1954     35    17  1.78         3 Week 3 (study day 15 to 21)  1.83  
## 1955     35    18  1.78         3 Week 3 (study day 15 to 21)  1.83  
## 1956     35    19  1.78         3 Week 3 (study day 15 to 21)  1.83  
## 1957     35    20  1.78         3 Week 3 (study day 15 to 21)  1.83  
## 1958     35    21  1.78         3 Week 3 (study day 15 to 21)  1.83  
## 1959     35    22  1.78         4 Week 4 (study day 22 to 28)  1.61  
## 1960     35    23  1.78         4 Week 4 (study day 22 to 28)  1.61  
## 1961     35    24  1.56         4 Week 4 (study day 22 to 28)  1.61  
## 1962     35    25  1.56         4 Week 4 (study day 22 to 28)  1.61  
## 1963     35    26  1.56         4 Week 4 (study day 22 to 28)  1.61  
## 1964     35    27  1.53         4 Week 4 (study day 22 to 28)  1.61  
## 1965     35    28  1.53         4 Week 4 (study day 22 to 28)  1.61  
## 1966     35    29  1.53         5 Week 5 (study day 29 to 35)  1.43  
## 1967     35    30  1.53         5 Week 5 (study day 29 to 35)  1.43  
## 1968     35    31  1.53         5 Week 5 (study day 29 to 35)  1.43  
## 1969     35    32  1.46         5 Week 5 (study day 29 to 35)  1.43  
## 1970     35    33  1.46         5 Week 5 (study day 29 to 35)  1.43  
## 1971     35    34  1.26         5 Week 5 (study day 29 to 35)  1.43  
## 1972     35    35  1.26         5 Week 5 (study day 29 to 35)  1.43  
## 1973     35    36  1.26         6 Week 6 (study day 36 to 42)  1.26  
## 1974     35    37  1.26         6 Week 6 (study day 36 to 42)  1.26  
## 1975     35    38  1.26         6 Week 6 (study day 36 to 42)  1.26  
## 1976     35    39  1.26         6 Week 6 (study day 36 to 42)  1.26  
## 1977     35    40  1.26         6 Week 6 (study day 36 to 42)  1.26  
## 1978     35    41  1.26         6 Week 6 (study day 36 to 42)  1.26  
## 1979     35    42  1.26         6 Week 6 (study day 36 to 42)  1.26  
## 1980     35    43  1.26         7 Week 7 (study day 43 to 49)  1.17  
## 1981     35    44  1.26         7 Week 7 (study day 43 to 49)  1.17  
## 1982     35    45  1.26         7 Week 7 (study day 43 to 49)  1.17  
## 1983     35    46  1.26         7 Week 7 (study day 43 to 49)  1.17  
## 1984     35    47  1.2          7 Week 7 (study day 43 to 49)  1.17  
## 1985     35    48  1            7 Week 7 (study day 43 to 49)  1.17  
## 1986     35    49  1            7 Week 7 (study day 43 to 49)  1.17  
## 1987     35    50  1            8 Week 8 (study day 50 to 56)  1     
## 1988     35    51  1            8 Week 8 (study day 50 to 56)  1     
## 1989     35    52  1            8 Week 8 (study day 50 to 56)  1     
## 1990     35    53  1            8 Week 8 (study day 50 to 56)  1     
## 1991     35    54  1            8 Week 8 (study day 50 to 56)  1     
## 1992     35    55  1            8 Week 8 (study day 50 to 56)  1     
## 1993     35    56  1            8 Week 8 (study day 50 to 56)  1     
## 1994     36     0 27.3          0 Baseline                    27.3   
## 1995     36     1 27.8          1 Week 1 (study day 1 to 7)    5.43  
## 1996     36     2  1.78         1 Week 1 (study day 1 to 7)    5.43  
## 1997     36     3  1.78         1 Week 1 (study day 1 to 7)    5.43  
## 1998     36     4  1.78         1 Week 1 (study day 1 to 7)    5.43  
## 1999     36     5  1.78         1 Week 1 (study day 1 to 7)    5.43  
## 2000     36     6  1.78         1 Week 1 (study day 1 to 7)    5.43  
## 2001     36     7  1.33         1 Week 1 (study day 1 to 7)    5.43  
## 2002     36     8  1.33         2 Week 2 (study day 8 to 14)   1.14  
## 2003     36     9  1.33         2 Week 2 (study day 8 to 14)   1.14  
## 2004     36    10  1.33         2 Week 2 (study day 8 to 14)   1.14  
## 2005     36    11  1.33         2 Week 2 (study day 8 to 14)   1.14  
## 2006     36    12  0.889        2 Week 2 (study day 8 to 14)   1.14  
## 2007     36    13  0.889        2 Week 2 (study day 8 to 14)   1.14  
## 2008     36    14  0.889        2 Week 2 (study day 8 to 14)   1.14  
## 2009     36    15  0.889        3 Week 3 (study day 15 to 21)  0.889 
## 2010     36    16  0.889        3 Week 3 (study day 15 to 21)  0.889 
## 2011     36    17  0.889        3 Week 3 (study day 15 to 21)  0.889 
## 2012     36    18  0.889        3 Week 3 (study day 15 to 21)  0.889 
## 2013     36    19  0.889        3 Week 3 (study day 15 to 21)  0.889 
## 2014     36    20  0.889        3 Week 3 (study day 15 to 21)  0.889 
## 2015     36    21  0.889        3 Week 3 (study day 15 to 21)  0.889 
## 2016     36    22  0.889        4 Week 4 (study day 22 to 28)  0.593 
## 2017     36    23  0.889        4 Week 4 (study day 22 to 28)  0.593 
## 2018     36    24  0            4 Week 4 (study day 22 to 28)  0.593 
## 2019     37     0  0.889        0 Baseline                     0.889 
## 2020     37     1  0.889        1 Week 1 (study day 1 to 7)    0.741 
## 2021     37     2  0.889        1 Week 1 (study day 1 to 7)    0.741 
## 2022     37     3  0.889        1 Week 1 (study day 1 to 7)    0.741 
## 2023     37     4  0.741        1 Week 1 (study day 1 to 7)    0.741 
## 2024     37     5  0.741        1 Week 1 (study day 1 to 7)    0.741 
## 2025     37     6  0.741        1 Week 1 (study day 1 to 7)    0.741 
## 2026     37     7  0.741        1 Week 1 (study day 1 to 7)    0.741 
## 2027     37     8  0.741        2 Week 2 (study day 8 to 14)   0.750 
## 2028     37     9  0.753        2 Week 2 (study day 8 to 14)   0.750 
## 2029     37    10  0.753        2 Week 2 (study day 8 to 14)   0.750 
## 2030     37    11  0.753        2 Week 2 (study day 8 to 14)   0.750 
## 2031     37    12  0.751        2 Week 2 (study day 8 to 14)   0.750 
## 2032     37    13  0.751        2 Week 2 (study day 8 to 14)   0.750 
## 2033     37    14  0.751        2 Week 2 (study day 8 to 14)   0.750 
## 2034     37    15  0.752        3 Week 3 (study day 15 to 21)  0.751 
## 2035     37    16  0.752        3 Week 3 (study day 15 to 21)  0.751 
## 2036     37    17  0.752        3 Week 3 (study day 15 to 21)  0.751 
## 2037     37    18  0.752        3 Week 3 (study day 15 to 21)  0.751 
## 2038     37    19  0.751        3 Week 3 (study day 15 to 21)  0.751 
## 2039     37    20  0.751        3 Week 3 (study day 15 to 21)  0.751 
## 2040     37    21  0.751        3 Week 3 (study day 15 to 21)  0.751 
## 2041     37    22  0.751        4 Week 4 (study day 22 to 28)  0.751 
## 2042     37    23  0.751        4 Week 4 (study day 22 to 28)  0.751 
## 2043     37    24  1.35         4 Week 4 (study day 22 to 28)  0.751 
## 2044     37    25  0.601        4 Week 4 (study day 22 to 28)  0.751 
## 2045     37    26  0.601        4 Week 4 (study day 22 to 28)  0.751 
## 2046     37    27  0.601        4 Week 4 (study day 22 to 28)  0.751 
## 2047     37    28  0.601        4 Week 4 (study day 22 to 28)  0.751 
## 2048     37    29  0.601        5 Week 5 (study day 29 to 35)  0.495 
## 2049     37    30  0.602        5 Week 5 (study day 29 to 35)  0.495 
## 2050     37    31  0.452        5 Week 5 (study day 29 to 35)  0.495 
## 2051     37    32  0.452        5 Week 5 (study day 29 to 35)  0.495 
## 2052     37    33  0.452        5 Week 5 (study day 29 to 35)  0.495 
## 2053     37    34  0.452        5 Week 5 (study day 29 to 35)  0.495 
## 2054     37    35  0.452        5 Week 5 (study day 29 to 35)  0.495 
## 2055     37    36  0.452        6 Week 6 (study day 36 to 42)  0.403 
## 2056     37    37  0.452        6 Week 6 (study day 36 to 42)  0.403 
## 2057     37    38  0.452        6 Week 6 (study day 36 to 42)  0.403 
## 2058     37    39  0.377        6 Week 6 (study day 36 to 42)  0.403 
## 2059     37    40  0.377        6 Week 6 (study day 36 to 42)  0.403 
## 2060     37    41  0.355        6 Week 6 (study day 36 to 42)  0.403 
## 2061     37    42  0.355        6 Week 6 (study day 36 to 42)  0.403 
## 2062     37    43  0.355        7 Week 7 (study day 43 to 49)  0.345 
## 2063     37    44  0.355        7 Week 7 (study day 43 to 49)  0.345 
## 2064     37    45  0.355        7 Week 7 (study day 43 to 49)  0.345 
## 2065     37    46  0.355        7 Week 7 (study day 43 to 49)  0.345 
## 2066     37    47  0.355        7 Week 7 (study day 43 to 49)  0.345 
## 2067     37    48  0.355        7 Week 7 (study day 43 to 49)  0.345 
## 2068     37    49  0.284        7 Week 7 (study day 43 to 49)  0.345 
## 2069     37    50  0.284        8 Week 8 (study day 50 to 56)  0.283 
## 2070     37    51  0.284        8 Week 8 (study day 50 to 56)  0.283 
## 2071     37    52  0.284        8 Week 8 (study day 50 to 56)  0.283 
## 2072     37    53  0.284        8 Week 8 (study day 50 to 56)  0.283 
## 2073     37    54  0.284        8 Week 8 (study day 50 to 56)  0.283 
## 2074     37    55  0.282        8 Week 8 (study day 50 to 56)  0.283 
## 2075     37    56  0.282        8 Week 8 (study day 50 to 56)  0.283 
## 2076     38     0  2.46         0 Baseline                     2.46  
## 2077     38     1  2.46         1 Week 1 (study day 1 to 7)    2.48  
## 2078     38     2  2.46         1 Week 1 (study day 1 to 7)    2.48  
## 2079     38     3  2.46         1 Week 1 (study day 1 to 7)    2.48  
## 2080     38     4  2.46         1 Week 1 (study day 1 to 7)    2.48  
## 2081     38     5  2.46         1 Week 1 (study day 1 to 7)    2.48  
## 2082     38     6  2.53         1 Week 1 (study day 1 to 7)    2.48  
## 2083     38     7  2.53         1 Week 1 (study day 1 to 7)    2.48  
## 2084     38     8  2.53         2 Week 2 (study day 8 to 14)   2.52  
## 2085     38     9  2.54         2 Week 2 (study day 8 to 14)   2.52  
## 2086     38    10  2.54         2 Week 2 (study day 8 to 14)   2.52  
## 2087     38    11  2.54         2 Week 2 (study day 8 to 14)   2.52  
## 2088     38    12  2.5          2 Week 2 (study day 8 to 14)   2.52  
## 2089     38    13  2.5          2 Week 2 (study day 8 to 14)   2.52  
## 2090     38    14  2.5          2 Week 2 (study day 8 to 14)   2.52  
## 2091     38    15  2.47         3 Week 3 (study day 15 to 21)  2.48  
## 2092     38    16  2.47         3 Week 3 (study day 15 to 21)  2.48  
## 2093     38    17  2.47         3 Week 3 (study day 15 to 21)  2.48  
## 2094     38    18  2.48         3 Week 3 (study day 15 to 21)  2.48  
## 2095     38    19  2.48         3 Week 3 (study day 15 to 21)  2.48  
## 2096     38    20  2.48         3 Week 3 (study day 15 to 21)  2.48  
## 2097     38    21  2.48         3 Week 3 (study day 15 to 21)  2.48  
## 2098     38    22  2.31         4 Week 4 (study day 22 to 28)  2.35  
## 2099     38    23  2.31         4 Week 4 (study day 22 to 28)  2.35  
## 2100     38    24  2.31         4 Week 4 (study day 22 to 28)  2.35  
## 2101     38    25  2.38         4 Week 4 (study day 22 to 28)  2.35  
## 2102     38    26  2.38         4 Week 4 (study day 22 to 28)  2.35  
## 2103     38    27  2.38         4 Week 4 (study day 22 to 28)  2.35  
## 2104     38    28  2.38         4 Week 4 (study day 22 to 28)  2.35  
## 2105     38    29  2.42         5 Week 5 (study day 29 to 35)  2.44  
## 2106     38    30  2.42         5 Week 5 (study day 29 to 35)  2.44  
## 2107     38    31  2.42         5 Week 5 (study day 29 to 35)  2.44  
## 2108     38    32  2.45         5 Week 5 (study day 29 to 35)  2.44  
## 2109     38    33  2.45         5 Week 5 (study day 29 to 35)  2.44  
## 2110     38    34  2.45         5 Week 5 (study day 29 to 35)  2.44  
## 2111     38    35  2.45         5 Week 5 (study day 29 to 35)  2.44  
## 2112     38    36  2.36         6 Week 6 (study day 36 to 42)  2.39  
## 2113     38    37  2.36         6 Week 6 (study day 36 to 42)  2.39  
## 2114     38    38  2.36         6 Week 6 (study day 36 to 42)  2.39  
## 2115     38    39  2.41         6 Week 6 (study day 36 to 42)  2.39  
## 2116     38    40  2.41         6 Week 6 (study day 36 to 42)  2.39  
## 2117     38    41  2.41         6 Week 6 (study day 36 to 42)  2.39  
## 2118     38    42  2.41         6 Week 6 (study day 36 to 42)  2.39  
## 2119     38    43  2.39         7 Week 7 (study day 43 to 49)  2.43  
## 2120     38    44  2.39         7 Week 7 (study day 43 to 49)  2.43  
## 2121     38    45  2.39         7 Week 7 (study day 43 to 49)  2.43  
## 2122     38    46  2.45         7 Week 7 (study day 43 to 49)  2.43  
## 2123     38    47  2.45         7 Week 7 (study day 43 to 49)  2.43  
## 2124     38    48  2.45         7 Week 7 (study day 43 to 49)  2.43  
## 2125     38    49  2.45         7 Week 7 (study day 43 to 49)  2.43  
## 2126     38    50  2.41         8 Week 8 (study day 50 to 56)  2.43  
## 2127     38    51  2.41         8 Week 8 (study day 50 to 56)  2.43  
## 2128     38    52  2.41         8 Week 8 (study day 50 to 56)  2.43  
## 2129     38    53  2.45         8 Week 8 (study day 50 to 56)  2.43  
## 2130     38    54  2.45         8 Week 8 (study day 50 to 56)  2.43  
## 2131     38    55  2.45         8 Week 8 (study day 50 to 56)  2.43  
## 2132     38    56  2.45         8 Week 8 (study day 50 to 56)  2.43  
## 2133     39     0  2.46         0 Baseline                     2.46  
## 2134     39     1  2.50         1 Week 1 (study day 1 to 7)    1.60  
## 2135     39     2  2.50         1 Week 1 (study day 1 to 7)    1.60  
## 2136     39     3  2.49         1 Week 1 (study day 1 to 7)    1.60  
## 2137     39     4  1.87         1 Week 1 (study day 1 to 7)    1.60  
## 2138     39     5  1.87         1 Week 1 (study day 1 to 7)    1.60  
## 2139     39     6  0            1 Week 1 (study day 1 to 7)    1.60  
## 2140     39     7  0            1 Week 1 (study day 1 to 7)    1.60  
## 2141     39     8  0            2 Week 2 (study day 8 to 14)   0     
## 2142     39     9  0            2 Week 2 (study day 8 to 14)   0     
## 2143     39    10  0            2 Week 2 (study day 8 to 14)   0     
## 2144     39    11  0            2 Week 2 (study day 8 to 14)   0     
## 2145     39    12  0            2 Week 2 (study day 8 to 14)   0     
## 2146     39    13  0            2 Week 2 (study day 8 to 14)   0     
## 2147     39    14  0            2 Week 2 (study day 8 to 14)   0     
## 2148     39    15  0            3 Week 3 (study day 15 to 21)  0     
## 2149     39    16  0            3 Week 3 (study day 15 to 21)  0     
## 2150     39    17  0            3 Week 3 (study day 15 to 21)  0     
## 2151     39    18  0            3 Week 3 (study day 15 to 21)  0     
## 2152     39    19  0            3 Week 3 (study day 15 to 21)  0     
## 2153     39    20  0            3 Week 3 (study day 15 to 21)  0     
## 2154     39    21  0            3 Week 3 (study day 15 to 21)  0     
## 2155     39    22  0            4 Week 4 (study day 22 to 28)  0     
## 2156     39    23  0            4 Week 4 (study day 22 to 28)  0     
## 2157     39    24  0            4 Week 4 (study day 22 to 28)  0     
## 2158     39    25  0            4 Week 4 (study day 22 to 28)  0     
## 2159     39    26  0            4 Week 4 (study day 22 to 28)  0     
## 2160     39    27  0            4 Week 4 (study day 22 to 28)  0     
## 2161     39    28  0            4 Week 4 (study day 22 to 28)  0     
## 2162     39    29  0            5 Week 5 (study day 29 to 35)  0     
## 2163     39    30  0            5 Week 5 (study day 29 to 35)  0     
## 2164     39    31  0            5 Week 5 (study day 29 to 35)  0     
## 2165     39    32  0            5 Week 5 (study day 29 to 35)  0     
## 2166     39    33  0            5 Week 5 (study day 29 to 35)  0     
## 2167     39    34  0            5 Week 5 (study day 29 to 35)  0     
## 2168     39    35  0            5 Week 5 (study day 29 to 35)  0     
## 2169     39    36  0            6 Week 6 (study day 36 to 42)  0     
## 2170     39    37  0            6 Week 6 (study day 36 to 42)  0     
## 2171     39    38  0            6 Week 6 (study day 36 to 42)  0     
## 2172     39    39  0            6 Week 6 (study day 36 to 42)  0     
## 2173     39    40  0            6 Week 6 (study day 36 to 42)  0     
## 2174     39    41  0            6 Week 6 (study day 36 to 42)  0     
## 2175     39    42  0            6 Week 6 (study day 36 to 42)  0     
## 2176     39    43  0            7 Week 7 (study day 43 to 49)  0     
## 2177     39    44  0            7 Week 7 (study day 43 to 49)  0     
## 2178     39    45  0            7 Week 7 (study day 43 to 49)  0     
## 2179     39    46  0            7 Week 7 (study day 43 to 49)  0     
## 2180     39    47  0            7 Week 7 (study day 43 to 49)  0     
## 2181     39    48  0            7 Week 7 (study day 43 to 49)  0     
## 2182     39    49  0            7 Week 7 (study day 43 to 49)  0     
## 2183     39    50  0            8 Week 8 (study day 50 to 56)  0     
## 2184     39    51  0            8 Week 8 (study day 50 to 56)  0     
## 2185     39    52  0            8 Week 8 (study day 50 to 56)  0     
## 2186     39    53  0            8 Week 8 (study day 50 to 56)  0     
## 2187     39    54  0            8 Week 8 (study day 50 to 56)  0     
## 2188     39    55  0            8 Week 8 (study day 50 to 56)  0     
## 2189     39    56  0            8 Week 8 (study day 50 to 56)  0



3. What do the individual patient data look like?


The purpose of this plot is getting an initial “feel” for trends and variability in the raw data. With only 39 subjects a facet-plot showing dose vs. time for each individual was feasible. Facet were arranged from left to right and top to bottom in order of decreasing strength of correlation (values of the Somer’s rank correlation coefficient are shown in the next plot). Because the GC pulses represented extreme outliers, I used log scale to visualise trends, namely in the lower value range. Horizontal lines at 0.2, 0.5 and 1mg/kg/day define the three GC thresholds mentioned in the challenge. Additionally, doses >10mg/kg/day define GC pulses.

## - Chunk 1, requires WW_GCdose and R libraries (chunk libraries_and_data)

## - Glucocorticoid dose vs. time in individual subjects

WW_GCdose_somersD <- 
  WW_GCdose %>% 
  mutate(
    pulses = ifelse(
        AVAL1 < 10, 0, 1
        )
    ) %>% 
  split (.$SUBJID) %>%
  # Compute correlation for time after the start of treatment (d0: baseline)
  lapply(function(df) filter(df, !ASTDY == 0) ) %>%          
  lapply( function(x) 
    c(
      pulses = sum(x$pulses),
      SomersDelta(
        x = x$ASTDY, 
        y = x$AVAL1,
        direction = "column", 
        conf.level = 0.95
        )
      )
    ) %>% 
  bind_rows(.id = "SUBJID") %>% 
  arrange(somers) %>% 
  mutate(SUBJID = factor (SUBJID, levels = unique(SUBJID)))


WW_GCdose <- 
  WW_GCdose %>% 
  mutate(                                  
    SUBJID = factor(
      SUBJID, 
      levels(WW_GCdose_somersD$SUBJID)
      )
    ) %>% 
  # Sorts subjects by trend for lowering GC dose over time, in descending order
  arrange(SUBJID) %>%
  group_by(SUBJID) %>% 
  mutate(
    censored = ifelse(
      which.max(ASTDY) < 56, 
      which.max(ASTDY), NA
      )
    ) %>% 
  ungroup

WW_GCdose %>% 
  ggplot(
    aes(x= ASTDY, y = AVAL1) 
    ) +
  geom_line() +
  geom_hline(
    yintercept = c(1, 0.5, 0.2, 10),
    colour = "darkgrey",
    linetype = "dashed"
  ) +
  geom_vline(
    aes(
      xintercept = censored,
      linetype = "Censored\nbefore day 56"
      ),
    color = "red",
    linewidth = 0.01
    ) +
  scale_y_log10(
    breaks = c(0, 0.2, 0.5, 1, 10)
  ) +
  labs(
    title = "Glucocorticoid dose versus time in individual subjects",
    subtitle = "Subject ID",
    caption = "Subjects sorted by rank correlation between glucocorticoid dose and time (Somers' D)\n
  Dashed lines: dose thresholds 0.2, 0.5, 1.0, and 10mg/kg/d",
    linetype = NULL) +
  xlab("Time (d)") +
  ylab("Glucocorticoid dose, log10 (mg/kg/d)") +
  facet_wrap(
    facets = "SUBJID",
    nrow = 3
    ) +
  theme_minimal() +
  theme(
    plot.title = element_text(
      hjust = 0.5,
      vjust = 3
      ),
    plot.subtitle = element_text(
      hjust = 0.5,
      vjust = -3,
      size = 9,
    color = "blue"      
      ),
    plot.caption = element_text(
      size = 9,
      hjust = 0.5
      ),
    strip.text.x = element_text(
      color = "blue"
      ),
    panel.grid.minor = element_blank()
    )


High inter-individual variation can be observed, regarding baseline values (day 0), trends for GC use vs. time, and the times when various threshold levels were crossed.
Although generally the frequency of GC pulses decreased with treatment time, they were still given at mid- to late stage in a few subjects (19, 29, 23).
Red vertical lines mark censored data in two individuals. This is useful information for the analyses, i.e. sample averages at different time points should not be calculated by dividing by sample size at baseline (N = 39), but rather by the actual sample size at each time point.

4. Did GC use change significantly in the follow-up period after initiation of the experimental treatment?


Somers’ D is a non-parametric measure of correlation related to Goodman-Kruskal’s Gamma and Kendall’s Tau-b. In contrast to the latter, the asymmetric Somers’ D coefficient is appropriate where of the variables being dependent on the other, as in this case 3.

## -  Chunk 2, requires WW_GCdose_somersD (chunk 1):

## - Correlation between GC dose and time of follow-up in individual subjects, with varying total length of pulse therapy

WW_GCdose_somersD %>% 
  rbind(
    .,
    select(., !c(SUBJID, pulses)) %>% 
      apply(., 2, median) %>% t %>% 
      data.frame(SUBJID = "\nAll     \n(median)", pulses = NA)
    ) %>% 
  ggplot(
    aes(
      y = SUBJID,
      x = somers,
      color = pulses
      )
    ) +
  geom_point(
    size = 2.5
  ) +
  geom_errorbarh(
    aes(
      xmin = lwr.ci,
      xmax = upr.ci
      )
    ) +
  scale_y_discrete(limits=rev) +
  scale_color_gradient(
    low = "#4aa2e6", 
    high = "#c7505c",
    na.value = "black",
    name = "Glucocorticoid \npulses: \ntotal days on \n>= 10mg/kg/d" 
    ) +
  ylab("Subject ID") +
  xlab("Somers' D") +
  labs(
    title = "Correlation between glucocorticoid dose and interventional time in individual subjects,\nwith varying total length of pulse therapy",
    caption = "Asymetric Somers' D with 95% CIs, dependent variable is glucocorticoid dose\n56d follow-up, except for subjects #11 (55d) and #36 (25d)") +
  theme_minimal() +
  theme(
    plot.title = element_text(
      hjust = 0.5,
      vjust = 3
      ),
    plot.caption = element_text(
      hjust = 0.5,
      vjust = -3
      ),
    legend.title = element_text(size = 9)
    )


The correlation coefficients for GC dose vs. time, including their 95% CIs, were negative for all subjects but one. The median Somers’ D across all patients was -0.817 (95% CI: -0.898 - -0.722). Strength of correlation seemed not associated with the total length of time patients received GC pulse therapy, probably because the frequency of the high-dose outliers/pulses decreased over the treatment period.

5. What shifts between clinically important threshold levels occured at the individual subject level, and how did the proportions of subjects recieving doses above different thresholds change over time?


The upper of the two panels is a “spaghetti plot”. This format offers a more compact way to visualise dose changes over time than the faceted line plots above, although at the expense of time-dependent resolution (qualitative changes) and/or clarity (colour instead of height). Subjects on the y-axis are sorted by dose level, consecutively from day 1 to day 56 of the treatment (ignoring baseline values at day 0). This makes the spaghetti plot more similar in appearance and comparable to the stacked area plot in the lower panel, showing changes in the proportion of patients with dose ranges between different threshold levels.

## - Chunk 3, requires WW_GCdose (chunk 1):

## - Fraction of patients receiving glucocorticoid doses above clinical thresholds versus time at baseline (day 0) and over the course of the investigational treatment


## Define thresholds, threshold colors, and threshold data

# Define clinically relevant glucocorticoid thresholds
GC_threshold <- c(0.2, 0.5, 1, 10)

# Define color palette distinguishing thresholds in the plot
threshold_palette <- 
  setNames(
    c("darkblue", "#4aa2e6", "#8ccfa8", "#e8bb61", "#c7505c"), 
    c(0, GC_threshold)
    )

# Create a nested dataframe with threshold values and thresholded GC doses vs. time 
threshold_GCdata <- 
  tibble(
    threshold_value = GC_threshold
  ) %>%
  mutate(GCdata = map(threshold_value, function(thresh) {
    WW_GCdose %>% 
      select(SUBJID, ASTDY, AVAL1, censored) %>% 
      pivot_wider(
        names_from = "ASTDY", 
        values_from = "AVAL1"
      ) %>%
      mutate(
        across(
          !c(SUBJID, censored), 
          ~ ifelse(.x >= thresh, 1, 0)
        )
      )
  }))


## Create plot for showing dose thresholds for individual patients vs. time

# Function for summing tibbles in a nested dataframe, element-wise

sum_tibbles <- function(df, nested_col_name, ID_col_name) {
  # Extract list of tibbles
  tibble_list <- df[[nested_col_name]]
  
  # Get SUBJID column from first tibble
  id_col <- tibble_list[[1]] %>% select(all_of(ID_col_name))
  
  tibble_list %>%
    # For each tibble, drop the SUBJID column (added back later)
    map(~select(.x, -all_of(ID_col_name))) %>%
    # Sum all tibbles together element-wise
    reduce(`+`) %>%
    # Bind the SUBJID column back
    bind_cols(id_col, .)
  }


# Create plot

dose_labels <- threshold_GCdata$threshold_value %>% 
  { c(
    paste ("0 -", .[1]),
    paste( .[-length(.)], "-", .[-1]),
    paste ("> ", .[length(.)]), 
    "NA"
  ) }

p1 <- threshold_GCdata %>% 
  sum_tibbles(., "GCdata", "SUBJID") %>% 
  # Join with WW_GCdose_somersD is only required when showing Somers' D in the plot 
  left_join(WW_GCdose_somersD %>% select(SUBJID, somers), .) %>% 
  # Sort so that patients dosed at the same threshold levels tend to group together, helping to compare this plot with the plot of patient fractions, p2)
  arrange(
    desc(
      across(!c(SUBJID, somers, censored, `0`) )
      )
    ) %>% 
  mutate(
    SUBJID = factor(
      SUBJID,
      levels = unique (SUBJID) %>% rev
      )
    ) %>% 
  pivot_longer(
    cols = !c(SUBJID, somers, censored),
    names_to = "Time",
    values_to = "Threshold_level"
    ) %>% 
  mutate(
    Time = as.numeric(Time),
    Threshold_level = factor(Threshold_level),
    SUBJID = factor(
      SUBJID, levels = rev(levels(SUBJID) ) 
      )
    ) %>% 
  ggplot(
    aes(
      # Optional: Indicate strength of correlation of GC dose dependent on time (Somers' D)
      # alpha = somers,
      x = Time,
      y = SUBJID,
      colour = Threshold_level,
      group = SUBJID
      )
    ) +
    geom_line(lwd = 3)  +
    scale_x_continuous(
      breaks = seq(0, 50, 10),
      expand = c(0,0)) +
    scale_color_discrete(
      type = as.character(threshold_palette),  
      na.value = "yellow",
      labels = dose_labels
      ) +
    # Scale alpha is only required when showing Somers' D (stronger colour for stronger negative correlation) 
    scale_alpha(
      range = c(1, -0.3)
      ) +
    labs(
      x = "Time(d)",
      y = "Subject ID",
      color = "Dose level \n(mg/kg/d)",
      alpha = "Somers' D") +
    theme_light() +
    theme(
      axis.text = element_text(size = 11),
      legend.title = element_text(size = 11),
      legend.text = element_text(size = 11),
      panel.grid = element_blank()
      ) 

# Notes
# Use of all_of() in function sum_tibbles: without it R treats -ID_col_name as looking for a column literally named "ID_col_name" rather than using the value of the variable. If the column name contains special characters or starts with a number, using all_of() ensures it's properly handled
# Group = SUBJID in ggplot is necessary because Threshold_level is an ordinal/categorical variable and this would introduce gaps between the colors of each bar


## Create plot for fractions of patients with doses above threshold levels vs. time

# Calculate fraction of patients above various thresholds at each time point

patients_above_threshold <- 
  threshold_GCdata %>%
  mutate(
    summary_data = map(GCdata, function(df) {
      df %>%
        select(-c(SUBJID, censored)) %>%
        summarize(across(everything(), 
          ~ sum(.x, na.rm = TRUE) / sum(!is.na(.x)))) %>%
        pivot_longer(
          cols = everything(),
          names_to = "Time",
          values_to = "Fraction"
        ) %>%
      mutate(Time = as.numeric(Time) )
      } )
    ) %>%
  select(threshold_value, summary_data) %>%
  unnest(summary_data) %>%
  mutate(Threshold = factor(threshold_value))


# Create plot

p2 <- patients_above_threshold %>% 
  ggplot(
    aes(
      x = Time,
      y = Fraction,
      fill = Threshold
      )
    ) +
  # Add an area for the remaining values, less than the lowest threshold in the input dataframe
  geom_area(aes(y = 1, fill = "0"), alpha = 0.7) +
  # Plot the other areas on top
  geom_area(
    position = 'identity'
    ) +
  scale_y_continuous(
    labels = scales::percent
    ) +
  scale_fill_manual(
    values = 
      threshold_palette
    ) +
  
  
  xlab("Time (d)") +
  ylab("Fraction of patients (%)") +
  theme_minimal() +
  theme(
    plot.title = element_text(hjust = 0.5, vjust = 2),
    plot.subtitle = element_text(hjust = 0.5),
    plot.caption = element_text(size = 10, hjust = 0.5),
    axis.text = element_text(size = 11),
    legend.position = "none",
    panel.grid = element_line(
      linetype = 3,
      linewidth = 1),
    panel.ontop = T
    ) +
  coord_cartesian(ylim = c(-0.01, 1.01), expand = FALSE)

p1 + p2 +
  plot_layout(
      design = "A
                A
                B"
      ) +
  plot_annotation(
      title = "Patients receiving glucocorticoid doses above clinical thresholds versus time \nat baseline (day 0) and over the course of the investigational treatment",
      theme = theme(
        plot.title = element_text(
          size = 14, 
          hjust = 0.5
          )
        )
      ) 


As an optional feature, the correlation of dose vs. time in individual subjects can be shown by increasing the transparency of the coloured bars with decreasing negative correlation strength. This could be useful for focussing on subjects where changes from higher to lower thresholds are part of a strong general trend for decreasing dose with treatment time. However, finding a range for the transparency scale that provided satisfactory visual discrimination was not easy with this set of values.



6. How much, on average, did the investigational treatment reduce GC use below clinically relevant thresholds?


Instead of looking at changes in patient numbers, this figure tries to quantify the days that an average patient might (no longer) need GC doses above certain thresholds. This transformation smoothes the effect of extreme changes, i.e. the GC pulses, while preserving their effect on the variability of the sample. The x-axis represents the accumulated time since start of the investigational treatment, the y-axis the average fraction of days that patients were dosed above individual threshold levels. Confidence intervals illustrate the variability of the patient data, and that the apparent decline in over-the-threshold dosing might not be significant except for the 10mg/kg/day level (GC pulses).
The visualisation could be useful for assessing whether the benefits of treatment are increasing with time, and when the change will become significant for the average patient.

## - Chunk 4, requires threshold_GCdata, threshold_palette (chunk 3):

## - Fraction of interventional time during which patients received glucocorticoid doses above clinical thresholds


# Calculate cumulative statistics by iterating in parallel over CG threshold values and thresholded dataframes
days_above_threshold <- threshold_GCdata %>%
  mutate(
    cumulative_data_stats = map2(GCdata, threshold_value, function(df, thresh_value) {
      # Extract only the numeric columns for processing
      followUp_GCdata <- df %>% select(!c(SUBJID, censored, "0"))
      
      # Get numeric time points for proper ordering later
      time_points <- as.numeric(names(followUp_GCdata))
      
      # Calculate cumulative ratios, keep NA for censored time points
      time_avg <- df %>%
        select(!c(SUBJID, censored, "0")) %>%
        apply(1, function(x) cumsum(x) / time_points) %>%
        t()
      
      # Calculate statistics for each time point
      map_df(seq_along(time_points), function(i) {
        tibble(
          Threshold = thresh_value,
          Time = time_points[i],
          n_valid = sum(!is.na(time_avg[, i])),
          Mean = mean(time_avg[, i], na.rm = TRUE),
          SD = sd(time_avg[, i], na.rm = TRUE)
        )
      })
    })
  ) %>%
  select(cumulative_data_stats) %>%
  unnest(cumulative_data_stats) %>%
  mutate(
    Threshold = factor(Threshold),
    SE = SD / sqrt(n_valid),
    CI.lwr = Mean - qt(0.975, n_valid - 1) * SE,
    CI.upr = Mean + qt(0.975, n_valid - 1) * SE
  )

# Create plot
days_above_threshold %>% 
  ggplot(
    aes(
      x = Time,
      y = Mean,
      color = Threshold
      )
    ) +
  geom_ribbon(
    aes(
      ymin = CI.lwr,
      ymax = CI.upr,
      fill = Threshold
      ),
    show.legend = FALSE,
    alpha = 0.2,
    linetype = 3,
    linewidth = 0.01
    ) +
  geom_line(
  linewidth = 1.2
  ) +
  scale_y_continuous(
    labels = percent
    ) +
  scale_color_discrete (
    type = threshold_palette[-1],
    labels = paste (">", threshold_GCdata$threshold_value) 
    ) +
  scale_fill_discrete (type = threshold_palette[-1]) +
  labs(
    title = "Fraction of interventional time\nduring which patients received glucocorticoid doses above clinical thresholds",
    caption = "Mean across patients (thick coloured lines), with 95%CIs (shaded areas)",
    color = "Dose level \n(mg/kg/d)"
    ) +
  xlab("Investigational treatment interval (d)") +
  ylab("Fraction of days with doses > threshold") +
  theme_minimal() +
  theme(
    plot.title = element_text(hjust = 0.5, vjust = 5),
    plot.subtitle = element_text(hjust = 0.5),
    plot.caption = element_text(size = 10, hjust = 0.5, vjust = -5),
    legend.title = element_text(size = 9),
    plot.margin = unit(c(0.5, 0, 0.5, 0), "cm")
    ) +
  # Display values inside the 0 - 100% range only (greater or smaller makes no sense), 
  # zooming in with coord_cartesian because setting limits in scale_y_continuous will cause an error if geom_ribbon values exist outside the scale range
  coord_cartesian(ylim = c(-0.01, 1.01), expand = F)        



7. References

  1. Current treatment in macrophage activation syndrome worldwide: a systematic literature review to inform the METAPHOR project. Baldo F, Erkens RGA, Mizuta M, Rogani G, Lucioni F, Bracaglia C, Foell D, Gattorno M, Jelusic M, Anton J, Brogan P, Canna S, Chandrakasan S, Cron RQ, De Benedetti F, Grom A, Heshin-Bekenstein M, Horne A, Khubchandani R, Ozen S, Quartier P, Ravelli A, Shimizu M, Schulert G, Scott C, Sinha R, Ruperto N, Swart JF, Vastert S, Minoia F; PReS MAS/sJIA Working Party and Paediatric Rheumatology International Trial Organization. Rheumatology (Oxford). 2025 Jan 1;64(1):32-44. https://doi.org/10.1093/rheumatology/keae391
  2. Evidence-based diagnosis and treatment of macrophage activation syndrome in systemic juvenile idiopathic arthritis. Boom V, Anton J, Lahdenne P, Quartier P, Ravelli A, Wulffraat NM, Vastert SJ. Pediatr Rheumatol Online J. 2015 Dec 3;13:55. https://ped-rheum.biomedcentral.com/articles/10.1186/s12969-015-0055-3
  3. https://www.statisticshowto.com/somers-d/