estimate_rdiff_two.md
In esci: Estimation Statistics with Confidence Intervals

estimate_rdiff_two compared to ESCI_Two_Correlations, summary data

Code
  estimate
Output
  Analysis of summary data:

  -- es_r --
    grouping_variable_name grouping_variable_level        x_variable_name
  1                 Gender                 Females Satisfaction with life
  2                 Gender                   Males Satisfaction with life
      y_variable_name  effect effect_size        LL        UL        SE  n df
  1 Body satisfaction Females        0.41 0.1685419 0.6005378 0.1092338 59 57
  2 Body satisfaction   Males        0.53 0.2811300 0.7063492 0.1060255 47 45
        ta_LL     ta_UL
  1 0.2091420 0.5729339
  2 0.3242716 0.6817387

  -- es_r_difference --
          type grouping_variable_name grouping_variable_level
  1 Comparison                 Gender                   Males
  2  Reference                 Gender                 Females
  3 Difference                 Gender       Males  -  Females
           x_variable_name   y_variable_name            effect effect_size
  1 Satisfaction with life Body satisfaction             Males        0.53
  2 Satisfaction with life Body satisfaction           Females        0.41
  3 Satisfaction with life Body satisfaction Males  -  Females        0.12
            LL        UL        SE  n df      ta_LL     ta_UL        rz       sem
  1  0.2811300 0.7063492 0.1060255 47 45  0.3242716 0.6817387 0.5901452 0.1507557
  2  0.1685419 0.6005378 0.1092338 59 57  0.2091420 0.5729339 0.4356112 0.1336306
  3 -0.1934341 0.4190001        NA NA NA -0.1424341 0.3717311 0.1545339 0.2014557
            z            p
  1 3.9145801 9.056166e-05
  2 3.2598159 1.114846e-03
  3 0.7670863 4.430302e-01


  Note: LL and UL are lower and upper boundaries of confidence intervals with 95% expected coverage.

estimate_rdiff_two of from Thomason1, ESCI_Scatterplots

Code
  estimate
Output
  Analysis of raw data:
  Data frame = data

  ---Overview---
    outcome_variable_name grouping_variable_name grouping_variable_level     mean
  1                ls_pre                  major              Humanities 12.83333
  2                ls_pre                  major                 Science 10.33333
  3               ls_post                  major              Humanities 14.66667
  4               ls_post                  major                 Science 11.83333
      mean_LL  mean_UL median median_LL median_UL       sd min max    q1    q3 n
  1 10.063406 15.60326   12.5  8.860115  16.13988 2.639444   9  17 12.00 13.75 6
  2  6.482224 14.18444   10.0  5.905130  14.09487 3.669696   6  15  7.50 13.25 6
  3 12.399627 16.93371   14.5 11.770086  17.22991 2.160247  12  18 13.25 15.75 6
  4  8.690862 14.97580   11.5  7.860115  15.13988 2.994439   8  16 10.00 13.75 6
    missing df   mean_SE median_SE
  1       0  5 1.0775487  1.857118
  2       0  5 1.4981470  2.089258
  3       0  5 0.8819171  1.392839
  4       0  5 1.2224747  1.857118

  -- es_r_difference --
          type grouping_variable_name grouping_variable_level x_variable_name
  1 Comparison                  major                 Science          ls_pre
  2  Reference                  major              Humanities          ls_pre
  3 Difference                  major  Science  -  Humanities          ls_pre
    y_variable_name                 effect effect_size         LL        UL
  1         ls_post                Science  0.87969308  0.1536278 0.9842484
  2         ls_post             Humanities  0.86521602  0.0953317 0.9822849
  3         ls_post Science  -  Humanities  0.01447705 -0.7209657 0.7914286
           SE  n df      ta_LL     ta_UL        rz       sem          z
  1 0.1011329  6  4  0.3246022 0.9774135 1.3744088 0.5773503 2.38054590
  2 0.1124300  6  4  0.2706371 0.9746090 1.3137294 0.5773503 2.27544611
  3        NA NA NA -0.5512903 0.6170328 0.0606794 0.8164966 0.07431678
             p
  1 0.01728701
  2 0.02287918
  3 0.94075833

  -- es_r --
    grouping_variable_name grouping_variable_level x_variable_name
  1                  major              Humanities          ls_pre
  2                  major                 Science          ls_pre
    y_variable_name     effect effect_size        LL        UL        SE n df
  1         ls_post Humanities   0.8652160 0.0953317 0.9822849 0.1124300 6  4
  2         ls_post    Science   0.8796931 0.1536278 0.9842484 0.1011329 6  4
        ta_LL     ta_UL
  1 0.2706371 0.9746090
  2 0.3246022 0.9774135


  Note: LL and UL are lower and upper boundaries of confidence intervals with 95% expected coverage.

Compare estimate_rdiff_two to statpsych::ci.cor

Code
  estimate
Output
  Analysis of summary data:

  -- es_r --
    grouping_variable_name grouping_variable_level        x_variable_name
  1                 Gender                 Females Satisfaction with life
  2                 Gender                   Males Satisfaction with life
      y_variable_name  effect effect_size        LL        UL         SE   n df
  1 Body satisfaction Females         0.6 0.4041348 0.7405304 0.06432242 100 98
  2 Body satisfaction   Males         0.6 0.3981150 0.7436090 0.06601096  95 93
        ta_LL     ta_UL
  1 0.4251094 0.7288743
  2 0.4197736 0.7317547

  -- es_r_difference --
          type grouping_variable_name grouping_variable_level
  1 Comparison                 Gender                   Males
  2  Reference                 Gender                 Females
  3 Difference                 Gender       Males  -  Females
           x_variable_name   y_variable_name            effect effect_size
  1 Satisfaction with life Body satisfaction             Males         0.6
  2 Satisfaction with life Body satisfaction           Females         0.6
  3 Satisfaction with life Body satisfaction Males  -  Females         0.0
            LL        UL         SE   n df      ta_LL     ta_UL        rz
  1  0.3981150 0.7436090 0.06601096  95 93  0.4197736 0.7317547 0.6931472
  2  0.4041348 0.7405304 0.06432242 100 98  0.4251094 0.7288743 0.6931472
  3 -0.2459803 0.2428719         NA  NA NA -0.2215630 0.2189658 0.0000000
          sem        z            p
  1 0.1042572 6.648434 2.962274e-11
  2 0.1015346 6.826708 8.688528e-12
  3 0.1455295 0.000000 1.000000e+00


  Note: LL and UL are lower and upper boundaries of confidence intervals with 99% expected coverage.