GCLM T-Maze Summary

We have a main effect of sex and age session 1, and main effect of age for session 2/3 for T-maze, but no other main effects or interactions.

Assign labels

Read the data into R, select the columns of interest (T-maze data), exclude the Het mice (!= 1), and label the factors for Age, genotype, and sex. Ordered is used for age (as there are ordinal levels, eg young < adult < old), while factor is used for GT and SEX as there isn’t a scale difference. We have a total of 314 mice, but we will explore the sex, age, and genotype breakdowns in the later sections.

## Classes 'tbl_df', 'tbl' and 'data.frame':    600 obs. of  5 variables:
##  $ Sex     : Factor w/ 2 levels "Male","Female": 1 1 2 2 2 1 1 1 1 1 ...
##  $ Age     : Ord.factor w/ 3 levels "Young"<"Adult"<..: 3 3 3 3 3 2 2 2 2 2 ...
##  $ Genotype: Factor w/ 2 levels "Wild-type","Knockout": 2 2 2 2 1 2 2 1 1 1 ...
##  $ Session : Factor w/ 3 levels "Session 1","Session 2",..: 1 1 1 1 1 1 1 1 1 1 ...
##  $ TTC     : num  25 24 25 25 21 25 NA 21 20 18 ...

Now that we have all the variables coded correctly, we can move on to exploratory data vizualization and stat testing.

Summary Stats

We have >15 animals per group (sex:age:genotype).

Sex Age Genotype n
Male Young Wild-type 15
Male Young Knockout 15
Male Adult Wild-type 15
Male Adult Knockout 16
Male Old Wild-type 18
Male Old Knockout 18
Female Young Wild-type 16
Female Young Knockout 16
Female Adult Wild-type 17
Female Adult Knockout 15
Female Old Wild-type 16
Female Old Knockout 23

We also can see the final output from our mean and standard error calculations.Now that everything is placed into corresponding rows and columns, we can start putting things into graphs. Everything is placed into the corresponding columns for Sex, Age, Genotype, Session, trials to criterion (TTC), and standard error (SE).

## # A tibble: 10 x 6
## # Groups:   Sex, Age, Genotype [4]
##       Sex   Age  Genotype   Session       TTC        SE
##    <fctr> <ord>    <fctr>    <fctr>     <dbl>     <dbl>
##  1   Male Young Wild-type Session 1 15.733333 1.2323677
##  2   Male Young Wild-type Session 2 11.666667 0.7014724
##  3   Male Young Wild-type Session 3  9.666667 1.2636556
##  4   Male Young  Knockout Session 1 15.266667 0.6932784
##  5   Male Young  Knockout Session 2 11.133333 0.8775869
##  6   Male Young  Knockout Session 3  8.133333 0.8829963
##  7   Male Adult Wild-type Session 1 17.933333 1.1931019
##  8   Male Adult Wild-type Session 2 13.666667 1.2215005
##  9   Male Adult Wild-type Session 3  9.133333 1.2530597
## 10   Male Adult  Knockout Session 1 16.466667 1.4936373

Our graph is faceted by sex and by session, with indivdual grouped bars for the different ages/genotypes within each facet. We can clearly see that there is a limited difference according to genotype, although age appears to negatively affect their performance. Additionally we can see there is possibly a sex difference for the first session. The young females in session 1 are performing at around the same level as adult females, and look to be performing worse than their young male counterparts. We will confirm this via the ANOVAs.

ANOVA and post-hocs

We will define a function to call the ANOVA 3 times, then also calculate post-hoc tests. We can see the results of each of the sessions, and we do in fact have an age effect at each session with a sex effect in session 1. No effects of genotype though!

##                   Df Sum Sq Mean Sq F value  Pr(>F)    
## Sex                1    105  105.26   4.349  0.0386 *  
## Age                2    590  294.79  12.180 1.2e-05 ***
## Genotype           1     19   18.56   0.767  0.3825    
## Sex:Age            2     46   23.12   0.955  0.3869    
## Sex:Genotype       1      9    8.61   0.356  0.5516    
## Age:Genotype       2     16    8.03   0.332  0.7181    
## Sex:Age:Genotype   2      8    3.78   0.156  0.8556    
## Residuals        159   3848   24.20                    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 29 observations deleted due to missingness
##                   Df Sum Sq Mean Sq F value   Pr(>F)    
## Sex                1      7     7.4   0.366    0.546    
## Age                2   1103   551.5  27.214 6.85e-11 ***
## Genotype           1      5     5.2   0.255    0.614    
## Sex:Age            2     28    13.8   0.680    0.508    
## Sex:Genotype       1      3     2.8   0.136    0.713    
## Age:Genotype       2     39    19.5   0.962    0.384    
## Sex:Age:Genotype   2     51    25.6   1.264    0.285    
## Residuals        159   3222    20.3                     
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 29 observations deleted due to missingness
##                   Df Sum Sq Mean Sq F value  Pr(>F)   
## Sex                1     45   44.56   2.166 0.14310   
## Age                2    216  108.25   5.261 0.00613 **
## Genotype           1     13   12.65   0.615 0.43410   
## Sex:Age            2      6    3.13   0.152 0.85885   
## Sex:Genotype       1      7    6.58   0.320 0.57244   
## Age:Genotype       2      6    3.21   0.156 0.85583   
## Sex:Age:Genotype   2     42   20.83   1.012 0.36576   
## Residuals        159   3272   20.58                   
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 29 observations deleted due to missingness