I hypothesize a relationship between marital status (IV) and number of days respondents drank alcoholic beverages in the past year (DV).

#Data Prep

library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(readr)
library(ggplot2)
## Warning in file(con, "r"): cannot open file '/var/db/timezone/zoneinfo/
## +VERSION': No such file or directory
NHIS_Data <- read_csv("/Users/chelsyrodriguez/Downloads/NHIS Data.csv")
## 
## ── Column specification ────────────────────────────────────────────────────────
## cols(
##   .default = col_double(),
##   Demo_Race = col_logical(),
##   Demo_Hispanic = col_character(),
##   Demo_RaceEthnicity = col_character(),
##   Demo_Region = col_character(),
##   Demo_sex_C = col_character(),
##   Demo_sexorien_C = col_logical(),
##   Demo_agerange_C = col_character(),
##   Demo_marital_C = col_character(),
##   Demo_hourswrk_C = col_character(),
##   MentalHealth_MentalIllnessK6_C = col_character(),
##   MentalHealth_depressionmeds_B = col_logical(),
##   Health_SelfRatedHealth_C = col_character(),
##   Health_diagnosed_STD5yr_B = col_logical(),
##   Health_BirthControlNow_B = col_logical(),
##   Health_EverHavePrediabetes_B = col_logical(),
##   Health_HIVAidsRisk_C = col_character(),
##   Health_BMI_C = col_character(),
##   Health_UsualPlaceHealthcare_C = col_character(),
##   Health_AbnormalPapPast3yr_B = col_logical(),
##   Behav_CigsPerDay_C = col_character()
##   # ... with 1 more columns
## )
## ℹ Use `spec()` for the full column specifications.
## Warning: 683386 parsing failures.
##   row       col           expected                            actual                                             file
## 68557 Demo_Race 1/0/T/F/TRUE/FALSE Black or African American         '/Users/chelsyrodriguez/Downloads/NHIS Data.csv'
## 68558 Demo_Race 1/0/T/F/TRUE/FALSE Asian                             '/Users/chelsyrodriguez/Downloads/NHIS Data.csv'
## 68559 Demo_Race 1/0/T/F/TRUE/FALSE American Indian or Alaskan Native '/Users/chelsyrodriguez/Downloads/NHIS Data.csv'
## 68560 Demo_Race 1/0/T/F/TRUE/FALSE White                             '/Users/chelsyrodriguez/Downloads/NHIS Data.csv'
## 68561 Demo_Race 1/0/T/F/TRUE/FALSE White                             '/Users/chelsyrodriguez/Downloads/NHIS Data.csv'
## ..... ......... .................. ................................. ................................................
## See problems(...) for more details.
str(NHIS_Data)
## spec_tbl_df [619,537 × 50] (S3: spec_tbl_df/tbl_df/tbl/data.frame)
##  $ psu                                  : num [1:619537] 2 2 2 2 2 1 1 1 1 1 ...
##  $ sampweight                           : num [1:619537] 4316 2845 3783 2466 3794 ...
##  $ year                                 : num [1:619537] 1997 1997 1997 1997 1997 ...
##  $ year_strata                          : num [1:619537] 1998 1998 1998 1998 1998 ...
##  $ Demo_Race                            : logi [1:619537] NA NA NA NA NA NA ...
##  $ Demo_Hispanic                        : chr [1:619537] "Hispanic" "Hispanic" "Hispanic" "Hispanic" ...
##  $ Demo_RaceEthnicity                   : chr [1:619537] "Hispanic (Race Identity Unknown)" "Hispanic (Race Identity Unknown)" "Hispanic (Race Identity Unknown)" "Hispanic (Race Identity Unknown)" ...
##  $ Demo_Region                          : chr [1:619537] "West" "West" "West" "West" ...
##  $ Demo_sex_C                           : chr [1:619537] "female" "female" "male" "male" ...
##  $ Demo_sexorien_C                      : logi [1:619537] NA NA NA NA NA NA ...
##  $ Demo_belowpovertyline_B              : num [1:619537] 1 0 0 0 1 0 NA 0 0 NA ...
##  $ Demo_age_N                           : num [1:619537] 33 52 41 67 25 61 58 23 27 19 ...
##  $ Demo_agerange_C                      : chr [1:619537] "30-39" "50-59" "40-49" "60-69" ...
##  $ Demo_marital_C                       : chr [1:619537] "Married" "Married" "Married" "Widowed" ...
##  $ Demo_hourswrk_C                      : chr [1:619537] "20-39" "None" "40-59" "1-19" ...
##  $ MentalHealth_MentalIllnessK6_N       : num [1:619537] 0 NA 0 0 0 11 0 3 1 2 ...
##  $ MentalHealth_MentalIllnessK6_C       : chr [1:619537] "Low Risk" NA "Low Risk" "Low Risk" ...
##  $ MentalHealth_SeriousMentalIllnessK6_B: num [1:619537] 0 NA 0 0 0 0 0 0 0 0 ...
##  $ MentalHealth_depressionmeds_B        : logi [1:619537] NA NA NA NA NA NA ...
##  $ Health_SelfRatedHealth_C             : chr [1:619537] "Excellent" "Very Good" "Excellent" "Very Good" ...
##  $ Health_diagnosed_STD5yr_B            : logi [1:619537] NA NA NA NA NA NA ...
##  $ Health_BirthControlNow_B             : logi [1:619537] NA NA NA NA NA NA ...
##  $ Health_EverHaveHeartAttack_B         : num [1:619537] 0 0 0 1 0 0 0 0 0 0 ...
##  $ Health_EverHaveHeartCondition_B      : num [1:619537] 0 0 0 0 0 0 0 0 0 0 ...
##  $ Health_EverHaveCancer_B              : num [1:619537] 0 0 0 0 0 0 0 0 0 0 ...
##  $ Health_EverHaveDiabetes_B            : num [1:619537] 0 0 0 1 0 1 1 0 0 0 ...
##  $ Health_EverHavePrediabetes_B         : logi [1:619537] NA NA NA NA NA NA ...
##  $ Health_EverHaveAsthma_B              : num [1:619537] 0 0 0 0 0 1 0 0 0 0 ...
##  $ Health_StillHaveAsthma_B             : num [1:619537] 0 0 0 0 0 NA 0 0 0 0 ...
##  $ Health_HIVAidsRisk_C                 : chr [1:619537] "Low" "None" "None" "None" ...
##  $ Health_HIVAidsHighRisk_B             : num [1:619537] 0 0 0 0 0 0 NA 0 0 0 ...
##  $ Health_EverTakeHIVTest_B             : num [1:619537] 1 1 1 1 0 NA 0 1 0 0 ...
##  $ Health_EverHaveHypertension_B        : num [1:619537] 0 0 0 1 0 1 0 0 0 0 ...
##  $ Health_BMI_N                         : num [1:619537] 19.7 25.7 36.5 24.2 24.8 ...
##  $ Health_BMI_C                         : chr [1:619537] "Normal" "Overweight" "Obese" "Normal" ...
##  $ Health_BMIOverweight_B               : num [1:619537] 0 1 1 0 0 1 0 0 0 0 ...
##  $ Health_BMIObese_B                    : num [1:619537] 0 0 1 0 0 0 0 0 0 0 ...
##  $ Health_Weight_N                      : num [1:619537] 115 150 233 141 140 135 180 130 135 130 ...
##  $ Health_Height_N                      : num [1:619537] 64 64 67 64 63 59 73 62 67 68 ...
##  $ Health_UsualPlaceHealthcare_C        : chr [1:619537] "No" "Yes" "Yes" "Yes" ...
##  $ Health_UsualPlaceHealthcare_B        : num [1:619537] 0 1 1 1 0 1 1 1 1 0 ...
##  $ Health_AbnormalPapPast3yr_B          : logi [1:619537] NA NA NA NA NA NA ...
##  $ Behav_EverSmokeCigs_B                : num [1:619537] 0 0 1 0 0 1 0 0 0 0 ...
##  $ Behav_CigsPerDay_N                   : num [1:619537] 0 0 5 0 0 0 0 0 0 0 ...
##  $ Behav_CigsPerDay_C                   : chr [1:619537] "00 None" "00 None" "01-09" "00 None" ...
##  $ Behav_AgeStartSmoking                : num [1:619537] NA NA 17 NA NA 6 NA NA NA NA ...
##  $ Behav_AlcDaysPerYear_N               : num [1:619537] NA NA 1 3 2 5 0 4 24 NA ...
##  $ Behav_AlcDaysPerWeek_N               : num [1:619537] NA NA 0 0 0 0 0 0 0 NA ...
##  $ Behav_BingeDrinkDaysYear_N           : num [1:619537] NA NA 0 0 0 2 NA 0 0 NA ...
##  $ Behav_BingeDrinkDaysYear_C           : chr [1:619537] NA NA "0 Days" "0 Days" ...
##  - attr(*, "problems")= tibble [683,386 × 5] (S3: tbl_df/tbl/data.frame)
##   ..$ row     : int [1:683386] 68557 68558 68559 68560 68561 68562 68563 68564 68565 68566 ...
##   ..$ col     : chr [1:683386] "Demo_Race" "Demo_Race" "Demo_Race" "Demo_Race" ...
##   ..$ expected: chr [1:683386] "1/0/T/F/TRUE/FALSE" "1/0/T/F/TRUE/FALSE" "1/0/T/F/TRUE/FALSE" "1/0/T/F/TRUE/FALSE" ...
##   ..$ actual  : chr [1:683386] "Black or African American" "Asian" "American Indian or Alaskan Native" "White" ...
##   ..$ file    : chr [1:683386] "'/Users/chelsyrodriguez/Downloads/NHIS Data.csv'" "'/Users/chelsyrodriguez/Downloads/NHIS Data.csv'" "'/Users/chelsyrodriguez/Downloads/NHIS Data.csv'" "'/Users/chelsyrodriguez/Downloads/NHIS Data.csv'" ...
##  - attr(*, "spec")=
##   .. cols(
##   ..   psu = col_double(),
##   ..   sampweight = col_double(),
##   ..   year = col_double(),
##   ..   year_strata = col_double(),
##   ..   Demo_Race = col_logical(),
##   ..   Demo_Hispanic = col_character(),
##   ..   Demo_RaceEthnicity = col_character(),
##   ..   Demo_Region = col_character(),
##   ..   Demo_sex_C = col_character(),
##   ..   Demo_sexorien_C = col_logical(),
##   ..   Demo_belowpovertyline_B = col_double(),
##   ..   Demo_age_N = col_double(),
##   ..   Demo_agerange_C = col_character(),
##   ..   Demo_marital_C = col_character(),
##   ..   Demo_hourswrk_C = col_character(),
##   ..   MentalHealth_MentalIllnessK6_N = col_double(),
##   ..   MentalHealth_MentalIllnessK6_C = col_character(),
##   ..   MentalHealth_SeriousMentalIllnessK6_B = col_double(),
##   ..   MentalHealth_depressionmeds_B = col_logical(),
##   ..   Health_SelfRatedHealth_C = col_character(),
##   ..   Health_diagnosed_STD5yr_B = col_logical(),
##   ..   Health_BirthControlNow_B = col_logical(),
##   ..   Health_EverHaveHeartAttack_B = col_double(),
##   ..   Health_EverHaveHeartCondition_B = col_double(),
##   ..   Health_EverHaveCancer_B = col_double(),
##   ..   Health_EverHaveDiabetes_B = col_double(),
##   ..   Health_EverHavePrediabetes_B = col_logical(),
##   ..   Health_EverHaveAsthma_B = col_double(),
##   ..   Health_StillHaveAsthma_B = col_double(),
##   ..   Health_HIVAidsRisk_C = col_character(),
##   ..   Health_HIVAidsHighRisk_B = col_double(),
##   ..   Health_EverTakeHIVTest_B = col_double(),
##   ..   Health_EverHaveHypertension_B = col_double(),
##   ..   Health_BMI_N = col_double(),
##   ..   Health_BMI_C = col_character(),
##   ..   Health_BMIOverweight_B = col_double(),
##   ..   Health_BMIObese_B = col_double(),
##   ..   Health_Weight_N = col_double(),
##   ..   Health_Height_N = col_double(),
##   ..   Health_UsualPlaceHealthcare_C = col_character(),
##   ..   Health_UsualPlaceHealthcare_B = col_double(),
##   ..   Health_AbnormalPapPast3yr_B = col_logical(),
##   ..   Behav_EverSmokeCigs_B = col_double(),
##   ..   Behav_CigsPerDay_N = col_double(),
##   ..   Behav_CigsPerDay_C = col_character(),
##   ..   Behav_AgeStartSmoking = col_double(),
##   ..   Behav_AlcDaysPerYear_N = col_double(),
##   ..   Behav_AlcDaysPerWeek_N = col_double(),
##   ..   Behav_BingeDrinkDaysYear_N = col_double(),
##   ..   Behav_BingeDrinkDaysYear_C = col_character()
##   .. )

Comparison of Means

NHIS_Data %>%
  summarize(Avg_Behav_AlcDaysPerYear_N = mean(Behav_AlcDaysPerYear_N,na.rm= TRUE))
## # A tibble: 1 x 1
##   Avg_Behav_AlcDaysPerYear_N
##                        <dbl>
## 1                       61.1

Table

NHIS_Data %>%
  group_by(Demo_marital_C) %>%
  summarize(Avg_Behav_AlcDaysPerYear_N = mean(Behav_AlcDaysPerYear_N,na.rm= TRUE))
## # A tibble: 5 x 2
##   Demo_marital_C      Avg_Behav_AlcDaysPerYear_N
## * <chr>                                    <dbl>
## 1 DivorcedOrSeparated                       61.6
## 2 Married                                   62.2
## 3 Never Married                             60.9
## 4 Widowed                                   53.6
## 5 <NA>                                      57.2
NHIS_Data %>%
  filter(Demo_marital_C %in% c("DivorcedOrSeparated","Married")) %>%
  group_by(Demo_marital_C) %>%
  summarize(Avg_Behav_AlcDaysPerYear_N = mean(Behav_AlcDaysPerYear_N,na.rm= TRUE))
## # A tibble: 2 x 2
##   Demo_marital_C      Avg_Behav_AlcDaysPerYear_N
## * <chr>                                    <dbl>
## 1 DivorcedOrSeparated                       61.6
## 2 Married                                   62.2
  • The average mean towards the number of days divorced respondents drank within the past year is 61.6 (rounded to 62), as well as the average mean of married respondents towards the number of days they drank within the past year is also 62.
NHIS_Data %>%
  group_by(Demo_marital_C) %>%
  summarize(n=n()) %>%
  mutate(percent=n/sum(n))
## # A tibble: 5 x 3
##   Demo_marital_C           n percent
## * <chr>                <int>   <dbl>
## 1 DivorcedOrSeparated 112359 0.181  
## 2 Married             285607 0.461  
## 3 Never Married       156790 0.253  
## 4 Widowed              61975 0.100  
## 5 <NA>                  2806 0.00453

Visualization

NHIS_Data %>%
  ggplot()+
  geom_histogram(aes(x=Behav_AlcDaysPerYear_N))
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 153407 rows containing non-finite values (stat_bin).

##Comparasion of Distributions

Distribution of the two groups

NHIS_Data %>%
  filter(Demo_marital_C %in% c("DivorcedOrSeparated","Married")) %>%
  ggplot()+
  geom_histogram(aes(x=Behav_AlcDaysPerYear_N))+
  facet_wrap(~Demo_marital_C)
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
## Warning: Removed 88270 rows containing non-finite values (stat_bin).

Sampling Distribution

Divorce_data <- NHIS_Data %>%
  filter(Demo_marital_C=="DivorcedOrSeparated")
  sample(Divorce_data$Behav_AlcDaysPerYear_N,40) 
##  [1]  36  NA  52 104   6 104 364 156 104   0 156  NA   3   0   0  52   2   0  NA
## [20]  NA   0   6  24   4   5  52  NA  NA   0 104  12   5  12   4  NA  NA   1  36
## [39] 156  52

Average of 40 values

Divorce_data <- NHIS_Data %>%
  filter(Demo_marital_C=="DivorcedOrSeparated")
  sample(Divorce_data$Behav_AlcDaysPerYear_N,40) %>%
  mean()
## [1] NA

Each of the 3 values represents the mean of the group of 40 divorced or separated respondents

Divorce_data <- NHIS_Data %>%
  filter(Demo_marital_C=="DivorcedOrSeparated")
  sample(Divorce_data$Behav_AlcDaysPerYear_N,40) %>%
  mean()
## [1] NA
  replicate(3,sample(Divorce_data$Behav_AlcDaysPerYear_N,40)%>%mean(na.rm= TRUE))
## [1] 38.09677 65.18182 55.20000

Each of the 10000 values represents the mean of a group of 40 divorced or separated respondents

Divorce_data <- NHIS_Data %>%
  filter(Demo_marital_C=="DivorcedOrSeparated")
  sample(Divorce_data$Behav_AlcDaysPerYear_N,40) %>%
  mean()
## [1] NA
  replicate(10000,sample(Divorce_data$Behav_AlcDaysPerYear_N,40)%>%mean(na.rm= TRUE)) %>%
  data.frame() %>%
  rename("mean"=1)
##            mean
## 1      73.31250
## 2      60.71875
## 3      68.42857
## 4      46.43333
## 5      54.45946
## 6      62.83871
## 7      90.21212
## 8      44.80000
## 9      57.40000
## 10     45.15625
## 11     35.55882
## 12     76.18182
## 13     61.88000
## 14     79.27027
## 15     72.48387
## 16     73.90909
## 17     91.02778
## 18     62.68750
## 19    103.52000
## 20     73.05556
## 21     63.21875
## 22     72.53333
## 23     69.00000
## 24     48.51613
## 25     82.09375
## 26     45.08571
## 27     32.50000
## 28     72.93333
## 29     52.60000
## 30     53.22581
## 31     56.34286
## 32     51.76667
## 33     72.91176
## 34     90.06250
## 35     55.64706
## 36     65.51613
## 37     79.13333
## 38     18.77778
## 39     76.67647
## 40     43.19355
## 41     37.94118
## 42     80.20690
## 43     31.03333
## 44     63.56667
## 45    105.66667
## 46     29.66667
## 47     58.00000
## 48     90.11111
## 49     39.48387
## 50     63.83333
## 51     64.61538
## 52     65.07143
## 53     62.45161
## 54     47.59375
## 55     73.38235
## 56     55.34375
## 57     81.96970
## 58     80.45161
## 59     45.45714
## 60     96.62069
## 61     51.36111
## 62     58.54839
## 63     56.83333
## 64     62.78947
## 65     30.35294
## 66     52.51724
## 67     55.47059
## 68     75.41667
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## 70     72.73529
## 71     60.63636
## 72     82.65625
## 73     82.35484
## 74     77.72727
## 75     66.16129
## 76     91.61765
## 77     84.96774
## 78     77.60000
## 79     63.71429
## 80     55.61765
## 81     53.60000
## 82     71.25926
## 83     75.51724
## 84     69.83333
## 85     87.44444
## 86     45.93939
## 87     83.34483
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## 90     65.31429
## 91     48.08571
## 92     56.54839
## 93     36.13889
## 94     61.34286
## 95     68.06061
## 96     66.68750
## 97     29.83333
## 98     38.78125
## 99     77.16129
## 100    52.83333
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## 102    39.52778
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## 104    55.29032
## 105    94.73529
## 106    80.09375
## 107    87.23529
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## 109    57.57143
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## 111    82.93548
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## 113    82.86111
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## 120    58.09091
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## 125    76.93548
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## 131    95.03333
## 132    63.38235
## 133   105.24242
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## 136    74.90909
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## 138    88.56250
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## 276    53.94286
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## 311    76.12500
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## 9319   54.75862
## 9320   40.28571
## 9321   44.20690
## 9322   33.53125
## 9323   84.52941
## 9324   46.96774
## 9325   69.68571
## 9326   93.53125
## 9327   41.34375
## 9328   73.85294
## 9329   50.59375
## 9330   51.51613
## 9331   68.20690
## 9332   50.37143
## 9333   58.76471
## 9334   40.57576
## 9335   66.54545
## 9336   81.42424
## 9337   69.32353
## 9338   50.50000
## 9339   40.02941
## 9340   67.80000
## 9341   44.22581
## 9342   52.63333
## 9343   68.83333
## 9344   69.12903
## 9345   80.81250
## 9346   57.50000
## 9347   52.51724
## 9348   68.53125
## 9349   67.19355
## 9350   25.67742
## 9351   81.27778
## 9352  110.21875
## 9353   69.19444
## 9354   37.92857
## 9355   41.38235
## 9356   85.50000
## 9357   62.08571
## 9358   73.09375
## 9359   49.32353
## 9360   75.46667
## 9361   47.45161
## 9362   72.34483
## 9363   45.79412
## 9364   68.03125
## 9365   58.56757
## 9366   90.94595
## 9367   71.90625
## 9368   63.13793
## 9369   73.46875
## 9370   35.19355
## 9371   29.21875
## 9372   58.41176
## 9373   33.37143
## 9374   59.90909
## 9375   44.43750
## 9376   81.93548
## 9377   45.28571
## 9378   45.24242
## 9379   73.63636
## 9380   83.56250
## 9381   44.63889
## 9382   58.45714
## 9383   64.82353
## 9384   54.41667
## 9385   39.17647
## 9386   35.93548
## 9387   40.84848
## 9388   58.48387
## 9389   71.20000
## 9390   69.73333
## 9391   24.70588
## 9392  109.27273
## 9393  106.33333
## 9394  106.57576
## 9395   22.41379
## 9396   95.10714
## 9397   77.18182
## 9398   44.70588
## 9399   88.44118
## 9400   26.32258
## 9401   55.87097
## 9402   63.65714
## 9403   60.14286
## 9404   60.43750
## 9405   53.72727
## 9406   60.17647
## 9407   49.29630
## 9408   77.80000
## 9409   68.77143
## 9410   35.86207
## 9411   66.14706
## 9412   69.11429
## 9413   61.41935
## 9414   52.85294
## 9415   57.43333
## 9416   50.30769
## 9417   31.88235
## 9418  115.31579
## 9419   55.91176
## 9420   90.00000
## 9421   97.14286
## 9422   81.80000
## 9423   70.00000
## 9424   37.93939
## 9425   39.43750
## 9426   60.07143
## 9427   76.73529
## 9428   72.50000
## 9429   58.03226
## 9430   48.26471
## 9431   68.60606
## 9432   67.30303
## 9433   52.27273
## 9434   52.81818
## 9435   68.56667
## 9436   52.88889
## 9437   45.44828
## 9438   75.34375
## 9439   59.90000
## 9440   50.62500
## 9441   80.81250
## 9442   52.05882
## 9443   69.59375
## 9444   57.48148
## 9445   78.58065
## 9446   59.51351
## 9447   59.00000
## 9448   78.06667
## 9449   58.02941
## 9450   97.56667
## 9451   49.39474
## 9452   58.82759
## 9453   76.50000
## 9454   59.40625
## 9455   66.91429
## 9456   40.69697
## 9457   62.53333
## 9458   87.41176
## 9459   53.62963
## 9460   62.61111
## 9461   56.90323
## 9462   45.00000
## 9463   68.28125
## 9464   99.11765
## 9465   67.90625
## 9466   59.32353
## 9467   67.14706
## 9468   87.03448
## 9469   79.70833
## 9470   41.09091
## 9471   76.39286
## 9472   91.83333
## 9473   47.16667
## 9474   41.70968
## 9475   45.05882
## 9476   63.43750
## 9477   77.43333
## 9478   85.03448
## 9479   86.35135
## 9480   45.62963
## 9481   42.93333
## 9482   59.12121
## 9483   58.14286
## 9484   48.29412
## 9485   72.90625
## 9486   48.87879
## 9487   64.83871
## 9488   53.38710
## 9489   54.00000
## 9490   42.69444
## 9491   62.39394
## 9492   80.28571
## 9493   51.03125
## 9494   66.90000
## 9495   88.48148
## 9496   29.35294
## 9497   50.27273
## 9498   74.27586
## 9499   55.87879
## 9500   58.85714
## 9501   65.82759
## 9502   69.50000
## 9503   73.61111
## 9504   60.05882
## 9505   81.90000
## 9506   67.00000
## 9507   85.37838
## 9508   55.40625
## 9509   59.58824
## 9510   34.37143
## 9511   67.05882
## 9512   77.24138
## 9513   85.27273
## 9514   49.05882
## 9515   54.77419
## 9516   43.00000
## 9517   55.50000
## 9518   56.48649
## 9519   80.75000
## 9520   48.22581
## 9521   57.75862
## 9522   63.93750
## 9523   62.50000
## 9524   59.03030
## 9525   61.62500
## 9526   55.61111
## 9527   50.96667
## 9528   56.93750
## 9529   59.26471
## 9530   42.78125
## 9531   90.03448
## 9532   36.38889
## 9533   34.24242
## 9534   58.67742
## 9535   58.28947
## 9536   44.32143
## 9537   52.54545
## 9538   60.58065
## 9539  106.96774
## 9540   57.90323
## 9541   59.52941
## 9542   39.12121
## 9543   38.77419
## 9544   35.16129
## 9545   49.50000
## 9546   65.37931
## 9547   48.41935
## 9548   83.85185
## 9549   49.40625
## 9550   50.14286
## 9551   71.40000
## 9552   46.00000
## 9553   47.38235
## 9554  145.39394
## 9555   33.66667
## 9556   49.83871
## 9557   62.57576
## 9558   38.33333
## 9559   88.47059
## 9560   77.73077
## 9561   40.86111
## 9562   36.59259
## 9563   70.25806
## 9564   80.03333
## 9565   61.68750
## 9566   58.53333
## 9567   72.00000
## 9568   66.15152
## 9569   54.53333
## 9570   59.37500
## 9571   26.75862
## 9572   37.22222
## 9573   49.64706
## 9574   74.15152
## 9575   77.35714
## 9576   64.54839
## 9577   65.33333
## 9578   83.02632
## 9579   45.33333
## 9580   60.38235
## 9581   58.02941
## 9582   79.33333
## 9583   28.93939
## 9584   74.67742
## 9585   80.16216
## 9586   79.63333
## 9587  113.03333
## 9588   43.05556
## 9589   45.87500
## 9590   70.61765
## 9591   71.33333
## 9592   47.76471
## 9593   76.33333
## 9594   38.11429
## 9595   33.06250
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## 9597   54.61290
## 9598   75.82143
## 9599   59.06250
## 9600   56.81250
## 9601  104.11429
## 9602   55.31250
## 9603   68.53125
## 9604   48.58621
## 9605   66.09091
## 9606   50.88571
## 9607   32.20000
## 9608   38.16129
## 9609   63.15152
## 9610   56.87879
## 9611   76.00000
## 9612   98.00000
## 9613   39.17647
## 9614   68.54545
## 9615   84.42857
## 9616   49.35484
## 9617   50.14706
## 9618   56.79412
## 9619   54.33333
## 9620   48.72414
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## 9622   47.20000
## 9623   67.06667
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## 9626   27.03333
## 9627   43.52941
## 9628   62.06250
## 9629   52.84848
## 9630   50.58333
## 9631   73.22581
## 9632   47.39394
## 9633   33.16129
## 9634   74.59375
## 9635   40.76471
## 9636   56.47222
## 9637   71.17647
## 9638   61.66667
## 9639   84.51429
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## 9641   55.03030
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## 9643   47.35294
## 9644   52.25000
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## 9646   61.26471
## 9647   59.62500
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## 9651   75.48387
## 9652   72.03125
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## 9654   48.56250
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## 9668   61.51852
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## 9679   62.73529
## 9680   45.76471
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## 9683   46.21875
## 9684  100.18182
## 9685   62.18750
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## 9687   57.10000
## 9688   72.05263
## 9689   63.88571
## 9690   70.54545
## 9691   66.42424
## 9692   67.83333
## 9693   99.55882
## 9694   98.74074
## 9695   50.58065
## 9696   51.75758
## 9697   41.68750
## 9698   99.17143
## 9699   78.83784
## 9700   36.93103
## 9701  106.71429
## 9702   67.81081
## 9703   49.00000
## 9704   49.13158
## 9705   66.03030
## 9706   54.02778
## 9707   64.50000
## 9708   61.00000
## 9709   51.96667
## 9710   73.88571
## 9711   61.67647
## 9712   96.72727
## 9713   43.51515
## 9714   66.51515
## 9715   74.00000
## 9716   76.55882
## 9717   65.74194
## 9718   51.37143
## 9719   74.06250
## 9720   88.50000
## 9721   59.66667
## 9722   51.12500
## 9723   65.70588
## 9724   48.56250
## 9725   56.53571
## 9726   87.29032
## 9727   73.73333
## 9728   43.85714
## 9729   40.08571
## 9730   70.73333
## 9731   56.09091
## 9732   89.15152
## 9733   49.29032
## 9734   61.16667
## 9735   47.54545
## 9736   50.14286
## 9737   72.25000
## 9738   82.42424
## 9739   75.06061
## 9740   84.35714
## 9741   67.34375
## 9742   64.93103
## 9743   51.88571
## 9744   63.43750
## 9745   58.45455
## 9746   63.37037
## 9747   62.35294
## 9748   55.67647
## 9749   44.67568
## 9750   58.17143
## 9751   44.91429
## 9752   44.54545
## 9753   75.56667
## 9754   60.14706
## 9755   77.40000
## 9756   27.93750
## 9757   52.00000
## 9758   43.75000
## 9759   36.27273
## 9760   74.06897
## 9761   43.76471
## 9762   55.48485
## 9763   60.22581
## 9764   65.72973
## 9765   71.57143
## 9766   47.16129
## 9767   65.06250
## 9768   39.54545
## 9769   74.23333
## 9770   57.60000
## 9771   72.55556
## 9772   72.87879
## 9773   56.84375
## 9774   73.02941
## 9775   33.16216
## 9776   42.95833
## 9777   82.06667
## 9778   68.83871
## 9779   52.00000
## 9780   35.50000
## 9781   50.26667
## 9782   40.50000
## 9783   55.16129
## 9784   61.23529
## 9785   40.78788
## 9786   61.09375
## 9787   59.90625
## 9788   78.51724
## 9789   52.93939
## 9790   37.09091
## 9791   82.22857
## 9792   44.68571
## 9793   30.17647
## 9794   61.79412
## 9795   51.09375
## 9796   69.87500
## 9797   75.15152
## 9798   88.00000
## 9799   61.76667
## 9800   20.71429
## 9801   91.90909
## 9802   41.60606
## 9803   54.61290
## 9804   70.21875
## 9805   50.22581
## 9806   43.03448
## 9807   45.00000
## 9808   79.42857
## 9809   67.62500
## 9810   73.50000
## 9811   57.55882
## 9812   82.55882
## 9813  102.03125
## 9814   50.59459
## 9815   63.23333
## 9816   43.29032
## 9817   48.14286
## 9818   49.54545
## 9819  107.58065
## 9820   70.55172
## 9821   62.80000
## 9822   67.39394
## 9823   53.63333
## 9824   53.63636
## 9825   71.03333
## 9826   72.25806
## 9827   49.72727
## 9828   58.61765
## 9829   42.02857
## 9830   53.15152
## 9831   84.60000
## 9832   72.73529
## 9833   50.68750
## 9834   56.82857
## 9835   66.90000
## 9836   68.31250
## 9837   67.88235
## 9838   44.88889
## 9839   71.44118
## 9840   55.42424
## 9841   65.56757
## 9842   71.28571
## 9843   53.62162
## 9844   68.31034
## 9845   64.57576
## 9846   39.68750
## 9847  103.75000
## 9848   58.09091
## 9849   48.34375
## 9850   47.20000
## 9851   38.59375
## 9852   52.56667
## 9853   51.89189
## 9854   63.36667
## 9855   50.36667
## 9856   60.18750
## 9857   38.00000
## 9858   78.96875
## 9859   74.70000
## 9860   38.09375
## 9861   66.86207
## 9862   68.17241
## 9863   87.36667
## 9864   81.25000
## 9865   47.62857
## 9866   65.40000
## 9867   55.74286
## 9868   77.48571
## 9869   79.85294
## 9870   31.68571
## 9871   41.60606
## 9872   40.96667
## 9873  101.24324
## 9874   65.30556
## 9875   60.63889
## 9876   42.17647
## 9877   52.58824
## 9878   48.41176
## 9879   79.46875
## 9880   54.20000
## 9881   75.48485
## 9882   62.27027
## 9883   58.15152
## 9884   43.48485
## 9885   46.93548
## 9886   51.66667
## 9887   45.44444
## 9888   62.78125
## 9889   48.50000
## 9890   48.08824
## 9891   77.67742
## 9892   56.70968
## 9893   38.39394
## 9894   43.58824
## 9895   41.88889
## 9896   37.28571
## 9897   89.65625
## 9898   60.18182
## 9899   57.02941
## 9900   94.03226
## 9901   38.41379
## 9902   66.15625
## 9903   62.00000
## 9904   69.50000
## 9905   49.47059
## 9906   55.00000
## 9907   38.78788
## 9908   93.57576
## 9909   81.03448
## 9910   55.82857
## 9911   43.24242
## 9912   69.94286
## 9913   50.81250
## 9914   37.48387
## 9915   43.12121
## 9916   70.34375
## 9917   47.75758
## 9918   78.42857
## 9919   64.11111
## 9920   57.77419
## 9921   82.74194
## 9922   86.94286
## 9923   67.09375
## 9924   45.54839
## 9925   48.36667
## 9926   45.46429
## 9927   77.31429
## 9928   77.09375
## 9929   25.43333
## 9930   61.32000
## 9931   63.06452
## 9932   64.46875
## 9933   68.80000
## 9934   75.14706
## 9935   87.04000
## 9936   78.60714
## 9937   48.43750
## 9938   41.84375
## 9939   40.81818
## 9940   69.03125
## 9941   58.00000
## 9942   68.16667
## 9943   53.93333
## 9944   44.06061
## 9945   39.10811
## 9946   63.75000
## 9947   84.12500
## 9948   57.43750
## 9949   44.25714
## 9950   62.26667
## 9951   24.19355
## 9952   55.18750
## 9953   76.24242
## 9954   57.82353
## 9955   69.58065
## 9956   62.93750
## 9957   53.66667
## 9958   67.48387
## 9959   72.78788
## 9960   67.00000
## 9961   73.68966
## 9962   42.71875
## 9963   58.57576
## 9964   71.06061
## 9965   63.02941
## 9966   94.31429
## 9967   81.70588
## 9968   83.51724
## 9969   57.16667
## 9970   93.93548
## 9971   69.64286
## 9972   67.05556
## 9973   43.55882
## 9974   31.78788
## 9975   79.84848
## 9976   39.87879
## 9977   58.97143
## 9978   66.76471
## 9979   52.38235
## 9980   55.38235
## 9981   79.83871
## 9982   32.54545
## 9983   76.86207
## 9984   60.25000
## 9985   25.42857
## 9986   47.96970
## 9987   74.41176
## 9988   69.70000
## 9989   88.03125
## 9990   63.60526
## 9991   53.68421
## 9992   60.00000
## 9993   54.66667
## 9994   24.63333
## 9995   58.13793
## 9996   65.96667
## 9997   67.36667
## 9998   43.31250
## 9999   58.50000
## 10000  71.07143
Divorce_data <- NHIS_Data %>%
  filter(Demo_marital_C=="DivorcedOrSeparated")
  sample(Divorce_data$Behav_AlcDaysPerYear_N,40) %>%
  mean()
## [1] NA
  replicate(10000,sample(Divorce_data$Behav_AlcDaysPerYear_N,40)%>%mean(na.rm= TRUE)) %>%
  data.frame() %>%
  rename("mean"=1) %>%
  ggplot()+
  geom_histogram(aes(x=mean),fill="red")
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

Random sample of 40 married values

Married_data <- NHIS_Data %>%
  filter(Demo_marital_C=="Married")
  sample(Married_data$Behav_AlcDaysPerYear_N,40)
##  [1] 104  12  36  52  52   0 104  52  NA  NA  24 104  52  12   0  24   2   0   4
## [20]   6  NA   0  24 208  12  12  NA 104 364   3  NA   1  NA  NA  NA   0  12  NA
## [39]  24  12

Average of the 40 values

Married_data <- NHIS_Data %>%
  filter(Demo_marital_C=="Married")
  sample(Married_data$Behav_AlcDaysPerYear_N,40) %>%
  mean()
## [1] NA

The 3 values represents the mean of a group of 40 married respondents

Married_data <- NHIS_Data %>%
  filter(Demo_marital_C=="Married")
  sample(Married_data$Behav_AlcDaysPerYear_N,40) %>%
  mean()
## [1] NA
  replicate(3,sample(Married_data$Behav_AlcDaysPerYear_N,40)%>%mean(na.rm= TRUE))
## [1] 46.56250 93.93939 64.25806

The 10000 values represents the mean of a group of 40 married respondents

Married_data <- NHIS_Data %>%
  filter(Demo_marital_C=="Married")
  sample(Married_data$Behav_AlcDaysPerYear_N,40) %>%
  mean()
## [1] NA
  replicate(10000,sample(Married_data$Behav_AlcDaysPerYear_N,40)%>%mean(na.rm= TRUE)) %>%
  data.frame() %>%
  rename("mean"=1)
##             mean
## 1      66.314286
## 2      79.555556
## 3      47.166667
## 4      88.411765
## 5      45.333333
## 6      72.269231
## 7      59.838710
## 8      54.400000
## 9      58.153846
## 10     72.085714
## 11     90.687500
## 12     71.966667
## 13     41.451613
## 14     73.151515
## 15    104.312500
## 16     74.222222
## 17     84.909091
## 18     78.083333
## 19     49.419355
## 20     54.656250
## 21     70.805556
## 22     41.703704
## 23     32.814815
## 24     71.677419
## 25     55.645161
## 26     76.172414
## 27     29.133333
## 28     86.419355
## 29     64.551724
## 30     52.062500
## 31     63.935484
## 32     58.941176
## 33     68.567568
## 34     64.032258
## 35     53.307692
## 36     41.228571
## 37     90.419355
## 38     56.935484
## 39     49.166667
## 40     49.333333
## 41     32.480000
## 42     37.310345
## 43     63.133333
## 44     90.416667
## 45     62.074074
## 46     47.677419
## 47     86.343750
## 48     34.161290
## 49     69.125000
## 50     61.600000
## 51     92.000000
## 52     62.448276
## 53     76.612903
## 54     59.516129
## 55     77.375000
## 56     43.242424
## 57     54.181818
## 58     55.333333
## 59     52.724138
## 60     74.741935
## 61     52.931034
## 62     58.457143
## 63     50.382353
## 64     39.178571
## 65     50.068966
## 66     55.111111
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## 9991   76.000000
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## 9994   87.100000
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## 9996   34.384615
## 9997   84.296296
## 9998   96.535714
## 9999   86.379310
## 10000  75.793103
Married_data <- NHIS_Data %>%
  filter(Demo_marital_C=="Married")
  sample(Married_data$Behav_AlcDaysPerYear_N,40) %>%
  mean()
## [1] NA
  replicate(10000,sample(Married_data$Behav_AlcDaysPerYear_N,40)%>%mean(na.rm= TRUE)) %>%
  data.frame() %>%
  rename("mean"=1) %>%
  ggplot()+
  geom_histogram(aes(x=mean),fill="blue")
## `stat_bin()` using `bins = 30`. Pick better value with `binwidth`.

T-test

Newdata <- NHIS_Data %>%
filter(Demo_marital_C %in% c("DivorcedOrSeparated","Married"))  
t.test(Behav_AlcDaysPerYear_N~Demo_marital_C, data = Newdata)
## 
##  Welch Two Sample t-test
## 
## data:  Behav_AlcDaysPerYear_N by Demo_marital_C
## t = -1.5448, df = 169421, p-value = 0.1224
## alternative hypothesis: true difference in means is not equal to 0
## 95 percent confidence interval:
##  -1.3715478  0.1624542
## sample estimates:
## mean in group DivorcedOrSeparated             mean in group Married 
##                          61.61497                          62.21952