tests/testthat/_snaps/estimate_mdiff_2x2between.md
In rcalinjageman/esci: Estimation Statistics with Confidence Intervals
Compare estimate_mdiff_2x2_between to ESCI_Ind_groups_2_x_2, Frenda
Code
estimates
Output
Analysis of raw data:
Outcome variable(s) = False Memory Score, False Memory Score, False Memory Score, False Memory Score, False Memory Score
Grouping variable(s) = Testing Time - Rest
---Overview---
outcome_variable_name grouping_variable_name grouping_variable_level mean
1 False Memory Score Testing Time Evening - Sleep 1.50
2 False Memory Score Testing Time Evening - No Sleep 1.14
3 False Memory Score Testing Time Morning - Sleep 1.38
4 False Memory Score Testing Time Morning - No Sleep 2.22
mean_LL mean_UL sd n df mean_SE grouping_variable_A_name
1 0.9535683 2.046432 1.38 26 99 0.2753891 Testing Time
2 0.5935683 1.686432 0.96 26 99 0.2753891 Testing Time
3 0.8227468 1.937253 1.50 25 99 0.2808429 Testing Time
4 1.6735683 2.766432 1.68 26 99 0.2753891 Testing Time
grouping_variable_B_name grouping_variable_A_level grouping_variable_B_level
1 Rest Evening Sleep
2 Rest Evening No Sleep
3 Rest Morning Sleep
4 Rest Morning No Sleep
-- es_mean_difference --
type outcome_variable_name grouping_variable_name
1 Comparison False Memory Score Testing Time
2 Reference False Memory Score Testing Time
3 Difference False Memory Score Testing Time
4 Comparison False Memory Score Rest
5 Reference False Memory Score Rest
6 Difference False Memory Score Rest
7 Comparison False Memory Score Rest
8 Reference False Memory Score Rest
9 Difference False Memory Score Rest
10 Comparison False Memory Score Rest
11 Reference False Memory Score Rest
12 Difference False Memory Score Rest
13 Comparison False Memory Score Interaction
14 Reference False Memory Score Interaction
15 Difference False Memory Score Interaction
effect effect_size LL UL SE
1 Morning 1.80 1.40976969 2.1902303 0.1966672
2 Evening 1.32 0.93361441 1.7063856 0.1947295
3 Difference 0.48 -0.06915710 1.0291571 0.2767626
4 No Sleep 1.68 1.29361441 2.0663856 0.1947295
5 Sleep 1.44 1.04976969 1.8302303 0.1966672
6 Difference 0.24 -0.30915710 0.7891571 0.2767626
7 No Sleep 2.22 1.67356826 2.7664317 0.2753891
8 Sleep 1.38 0.82274678 1.9372532 0.2808429
9 Difference 0.84 0.05953937 1.6204606 0.3933343
10 No Sleep 1.14 0.59356826 1.6864317 0.2753891
11 Sleep 1.50 0.95356826 2.0464317 0.2753891
12 Difference -0.36 -1.13277117 0.4127712 0.3894590
13 Simple effect of Rest at Morning 0.84 0.05953937 1.6204606 0.3933343
14 Simple effect of Rest at Evening -0.36 -1.13277117 0.4127712 0.3894590
15 Difference of differences 1.20 0.10168580 2.2983142 0.5535253
df ta_LL ta_UL effect_type
1 99 1.47345559 2.1265444 Main effect of Testing Time
2 99 0.99667285 1.6433271 Main effect of Testing Time
3 99 0.02046578 0.9395342 Main effect of Testing Time
4 99 1.35667285 2.0033271 Main effect of Rest
5 99 1.11345559 1.7665444 Main effect of Rest
6 99 -0.21953422 0.6995342 Main effect of Rest
7 99 1.76274636 2.6772536 Simple effect of Rest at Testing Time: Morning
8 99 0.91369095 1.8463090 Simple effect of Rest at Testing Time: Morning
9 99 0.18691117 1.4930888 Simple effect of Rest at Testing Time: Morning
10 99 0.68274636 1.5972536 Simple effect of Rest at Testing Time: Evening
11 99 1.04274636 1.9572536 Simple effect of Rest at Testing Time: Evening
12 99 -1.00665430 0.2866543 Simple effect of Rest at Testing Time: Evening
13 99 0.18691117 1.4930888 Interaction of Testing Time and Rest
14 99 -1.00665430 0.2866543 Interaction of Testing Time and Rest
15 99 0.28093156 2.1190684 Interaction of Testing Time and Rest
effects_complex
1 Morning
2 Evening
3 Morning ‒ Evening
4 No Sleep
5 Sleep
6 No Sleep ‒ Sleep
7 Morning: No Sleep
8 Morning: Sleep
9 Morning: No Sleep ‒ Sleep
10 Evening: No Sleep
11 Evening: Sleep
12 Evening: No Sleep ‒ Sleep
13 Morning: No Sleep ‒ Sleep
14 Evening: No Sleep ‒ Sleep
15 Difference of differences
-- es_smd --
outcome_variable_name grouping_variable_name effect
1 False Memory Score Testing Time Difference
2 False Memory Score Rest Difference
3 False Memory Score Rest Difference
4 False Memory Score Rest Difference
5 False Memory Score Interaction Difference of differences
effect_size LL UL numerator denominator SE df
1 0.3392309 -0.05078217 0.7275568 0.48 1.404214 0.1985595 99
2 0.1696154 -0.21782845 0.5562068 0.24 1.404214 0.1974616 99
3 0.5936540 0.03700651 1.1473703 0.84 1.404214 0.2832613 99
4 -0.2544232 -0.79853128 0.2909631 -0.36 1.404214 0.2779374 99
5 0.8480772 0.06443356 1.6275360 1.20 1.404214 0.3987579 99
d_biased effect_type
1 0.3418281 Main effect of Testing Time
2 0.1709141 Main effect of Rest
3 0.5981992 Simple effect of Rest at Testing Time: Morning
4 -0.2563711 Simple effect of Rest at Testing Time: Evening
5 0.8545703 Interaction of Testing Time and Rest
effects_complex
1 Morning ‒ Evening
2 No Sleep ‒ Sleep
3 Morning: No Sleep ‒ Sleep
4 Evening: No Sleep ‒ Sleep
5 Difference of differences
This standardized mean difference is called d_s because the standardizer used was s_p. d_s has been corrected for bias. Correction for bias can be important when df < 50. See the rightmost column for the biased value.
Note: LL and UL are lower and upper boundaries of confidence intervals with 95% expected coverage.
Code
mytesta
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect null_words confidence
1 Nil Hypothesis Test False Memory Score Difference 0.00 95
LL UL CI CI_compare
1 -0.0691571 1.029157 95% CI [-0.0691571, 1.029157] The 95% CI contains H_0
t df p p_result null_decision
1 1.734338 99 0.08597067 p ≥ 0.05 Fail to reject H_0
conclusion significant
1 At α = 0.05, 0.00 remains a plausible value of μ_diff FALSE
Code
mytestb
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect null_words confidence
1 Nil Hypothesis Test False Memory Score Difference 0.00 95
LL UL CI CI_compare
1 -0.3091571 0.7891571 95% CI [-0.3091571, 0.7891571] The 95% CI contains H_0
t df p p_result null_decision
1 0.8671691 99 0.3879464 p ≥ 0.05 Fail to reject H_0
conclusion significant
1 At α = 0.05, 0.00 remains a plausible value of μ_diff FALSE
Code
mytesti
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect
1 Nil Hypothesis Test False Memory Score Difference of differences
null_words confidence LL UL CI
1 0.00 95 0.1016858 2.298314 95% CI [0.1016858, 2.298314]
CI_compare t df p p_result null_decision
1 The 95% CI does not contain H_0 2.167923 99 0.03256134 p < 0.05 Reject H_0
conclusion significant
1 At α = 0.05, 0.00 is not a plausible value of μ_diff TRUE
Code
mytests1
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect null_words confidence
1 Nil Hypothesis Test False Memory Score Difference 0.00 95
LL UL CI
1 0.05953937 1.620461 95% CI [0.05953937, 1.620461]
CI_compare t df p p_result null_decision
1 The 95% CI does not contain H_0 2.135588 99 0.03517985 p < 0.05 Reject H_0
conclusion significant
1 At α = 0.05, 0.00 is not a plausible value of μ_diff TRUE
Code
mytests2
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect null_words confidence
1 Nil Hypothesis Test False Memory Score Difference 0.00 95
LL UL CI CI_compare
1 -1.132771 0.4127712 95% CI [-1.132771, 0.4127712] The 95% CI contains H_0
t df p p_result null_decision
1 -0.9243591 99 0.357547 p ≥ 0.05 Fail to reject H_0
conclusion significant
1 At α = 0.05, 0.00 remains a plausible value of μ_diff FALSE
Compare estimate_mdiff_2x2_between to statpsych::ci.lc.stdmean.bs, Frenda
Code
estimates
Output
Analysis of raw data:
Outcome variable(s) = False Memory Score, False Memory Score, False Memory Score, False Memory Score, False Memory Score
Grouping variable(s) = Testing Time - Rest
---Overview---
outcome_variable_name grouping_variable_name grouping_variable_level mean
1 False Memory Score Testing Time Evening - Sleep 1.50
2 False Memory Score Testing Time Evening - No Sleep 1.14
3 False Memory Score Testing Time Morning - Sleep 1.38
4 False Memory Score Testing Time Morning - No Sleep 2.22
mean_LL mean_UL sd n df mean_SE grouping_variable_A_name
1 0.9426059 2.057394 1.38 26 25 0.2706403 Testing Time
2 0.7522476 1.527752 0.96 26 25 0.1882715 Testing Time
3 0.7608304 1.999170 1.50 25 24 0.3000000 Testing Time
4 1.5414333 2.898567 1.68 26 25 0.3294751 Testing Time
grouping_variable_B_name grouping_variable_A_level grouping_variable_B_level
1 Rest Evening Sleep
2 Rest Evening No Sleep
3 Rest Morning Sleep
4 Rest Morning No Sleep
-- es_mean_difference --
type outcome_variable_name grouping_variable_name
1 Comparison False Memory Score Testing Time
2 Reference False Memory Score Testing Time
3 Difference False Memory Score Testing Time
4 Comparison False Memory Score Rest
5 Reference False Memory Score Rest
6 Difference False Memory Score Rest
7 Comparison False Memory Score Rest
8 Reference False Memory Score Rest
9 Difference False Memory Score Rest
10 Comparison False Memory Score Rest
11 Reference False Memory Score Rest
12 Difference False Memory Score Rest
13 Comparison False Memory Score Interaction
14 Reference False Memory Score Interaction
15 Difference False Memory Score Interaction
effect effect_size LL UL SE
1 Morning 1.80 1.35221241 2.2477876 0.2227969
2 Evening 1.32 0.98790888 1.6520911 0.1648426
3 Difference 0.48 -0.07078234 1.0307823 0.2771489
4 No Sleep 1.68 1.29645382 2.0635462 0.1897367
5 Sleep 1.44 1.03387273 1.8461273 0.2020187
6 Difference 0.24 -0.31078234 0.7907823 0.2771489
7 No Sleep 2.22 1.54143331 2.8985667 0.3294751
8 Sleep 1.38 0.76083043 1.9991696 0.3000000
9 Difference 0.84 -0.05557518 1.7355752 0.4455938
10 No Sleep 1.14 0.75224761 1.5277524 0.1882715
11 Sleep 1.50 0.94260594 2.0573941 0.2706403
12 Difference -0.36 -1.02418224 0.3041822 0.3296852
13 Simple effect of Rest at Morning 0.84 -0.05557518 1.7355752 0.4455938
14 Simple effect of Rest at Evening -0.36 -1.02418224 0.3041822 0.3296852
15 Difference of differences 1.20 0.09843532 2.3015647 0.5542979
df ta_LL ta_UL
1 48.73990 1.42643123 2.1735688
2 44.60524 1.04310735 1.5968927
3 87.91926 0.01927583 0.9407242
4 39.75348 1.36046476 1.9995352
5 48.26899 1.10120657 1.7787934
6 87.91926 -0.22072417 0.7007242
7 25.00000 1.65721014 2.7827899
8 24.00000 0.86673538 1.8932646
9 48.73990 0.09286247 1.5871375
10 25.00000 0.81840579 1.4615942
11 25.00000 1.03770833 1.9622917
12 44.60524 -0.91378530 0.1937853
13 48.73990 0.09286247 1.5871375
14 44.60524 -0.91378530 0.1937853
15 87.91926 0.27855166 2.1214483
effect_type effects_complex
1 Main effect of Testing Time Morning
2 Main effect of Testing Time Evening
3 Main effect of Testing Time Morning ‒ Evening
4 Main effect of Rest No Sleep
5 Main effect of Rest Sleep
6 Main effect of Rest No Sleep ‒ Sleep
7 Simple effect of Rest at Testing Time: Morning Morning: No Sleep
8 Simple effect of Rest at Testing Time: Morning Morning: Sleep
9 Simple effect of Rest at Testing Time: Morning Morning: No Sleep ‒ Sleep
10 Simple effect of Rest at Testing Time: Evening Evening: No Sleep
11 Simple effect of Rest at Testing Time: Evening Evening: Sleep
12 Simple effect of Rest at Testing Time: Evening Evening: No Sleep ‒ Sleep
13 Interaction of Testing Time and Rest Morning: No Sleep ‒ Sleep
14 Interaction of Testing Time and Rest Evening: No Sleep ‒ Sleep
15 Interaction of Testing Time and Rest Difference of differences
-- es_smd --
outcome_variable_name grouping_variable_name effect
1 False Memory Score Testing Time Difference
2 False Memory Score Rest Difference
3 False Memory Score Rest Difference
4 False Memory Score Rest Difference
5 False Memory Score Interaction Difference of differences
effect_size LL UL numerator denominator SE df
1 0.3389929 -0.05593994 0.7391145 0.48 1.405205 0.2028237 99
2 0.1694965 -0.22432486 0.5659121 0.24 1.405205 0.2015948 99
3 0.5932376 -0.04238852 1.2379439 0.84 1.405205 0.3266214 99
4 -0.2542447 -0.72666264 0.2142817 -0.36 1.405205 0.2400412 99
5 0.8474823 0.05531974 1.6526166 1.20 1.405205 0.4074812 99
d_biased effect_type
1 0.3415873 Main effect of Testing Time
2 0.1707936 Main effect of Rest
3 0.5977777 Simple effect of Rest at Testing Time: Morning
4 -0.2561904 Simple effect of Rest at Testing Time: Evening
5 0.8539682 Interaction of Testing Time and Rest
effects_complex
1 Morning ‒ Evening
2 No Sleep ‒ Sleep
3 Morning: No Sleep ‒ Sleep
4 Evening: No Sleep ‒ Sleep
5 Difference of differences
This standardized mean difference is called d_avg because the standardizer used was s_avg. d_avg has been corrected for bias. Correction for bias can be important when df < 50. See the rightmost column for the biased value.
Note: LL and UL are lower and upper boundaries of confidence intervals with 95% expected coverage.
Test different call types to estimate_mdiff_2x2between and compare to statpsych::ci.lc.median.bs
Code
estimates
Output
Analysis of raw data:
Data frame = structure(list(v1 = structure(c(2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L), levels = c("Music", "Silence"
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = ), class = "factor"), v2 = structure(c(1L, 1L, 1L, 1L, 1L, 1L,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L), levels = c("Calm", "Stressed"
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = ), class = "factor"), o = c(5, 5, 4, 4, 2, 5, 6, 5, 10, 10, 8,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 9, 11, 9, 10, 8, 8, 11, 10, 9, 8, 9, 10, 9, 15, 15, 13, 14, 15,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 15, 13, 15)), row.names = c(NA, 32L), class = "data.frame")
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
---Overview---
outcome_variable_name grouping_variable_name grouping_variable_level mean
1 o v2 Music - Calm 9.250
2 o v2 Music - Stressed 14.375
3 o v2 Silence - Calm 4.500
4 o v2 Silence - Stressed 9.375
mean_LL mean_UL median median_LL median_UL sd min max q1 q3 n
1 8.384636 10.115364 9.0 7.894785 10.10521 1.0350983 8 11 8.75 10 8
2 13.609100 15.140900 15.0 14.263190 15.73681 0.9161254 13 15 13.75 15 8
3 3.500764 5.499236 5.0 3.526380 6.47362 1.1952286 2 6 4.00 5 8
4 8.488266 10.261734 9.5 8.394785 10.60521 1.0606602 8 11 8.75 10 8
missing df mean_SE median_SE grouping_variable_A_name
1 0 7 0.3659625 0.5638955 v1
2 0 7 0.3238992 0.3759303 v1
3 0 7 0.4225771 0.7518606 v1
4 0 7 0.3750000 0.5638955 v1
grouping_variable_B_name grouping_variable_A_level grouping_variable_B_level
1 v2 Music Calm
2 v2 Music Stressed
3 v2 Silence Calm
4 v2 Silence Stressed
-- es_mean_difference --
type outcome_variable_name grouping_variable_name
1 Comparison o v1
2 Reference o v1
3 Difference o v1
4 Comparison o v2
5 Reference o v2
6 Difference o v2
7 Comparison o v2
8 Reference o v2
9 Difference o v2
10 Comparison o v2
11 Reference o v2
12 Difference o v2
13 Comparison o Interaction
14 Reference o Interaction
15 Difference o Interaction
effect effect_size LL UL SE
1 Silence 6.9375 6.330821 7.544179 0.2824874
2 Music 11.8125 11.287682 12.337318 0.2443559
3 Difference -4.8750 -5.641320 -4.108680 0.3735089
4 Stressed 11.8750 11.342556 12.407444 0.2477578
5 Calm 6.8750 6.274364 7.475636 0.2795085
6 Difference 5.0000 4.233680 5.766320 0.3735089
7 Stressed 9.3750 8.488266 10.261734 0.3750000
8 Calm 4.5000 3.500764 5.499236 0.4225771
9 Difference 4.8750 3.661641 6.088359 0.5649747
10 Stressed 14.3750 13.609100 15.140900 0.3238992
11 Calm 9.2500 8.384636 10.115364 0.3659625
12 Difference 5.1250 4.075364 6.174636 0.4887119
13 Simple effect of v2 at Silence 4.8750 3.661641 6.088359 0.5649747
14 Simple effect of v2 at Music 5.1250 4.075364 6.174636 0.4887119
15 Difference of differences -0.2500 -1.782640 1.282640 0.7470179
df ta_LL ta_UL effect_type
1 13.80490 6.439455 7.435545 Main effect of v1
2 13.79635 11.381664 12.243336 Main effect of v1
3 27.04290 -5.511158 -4.238842 Main effect of v1
4 13.70994 11.437968 12.312032 Main effect of v2
5 13.72000 6.381988 7.368012 Main effect of v2
6 27.04290 4.363842 5.636158 Main effect of v2
7 7.00000 8.664533 10.085467 Simple effect of v2 at v1: Silence
8 7.00000 3.699394 5.300606 Simple effect of v2 at v1: Silence
9 13.80490 3.878910 5.871090 Simple effect of v2 at v1: Silence
10 7.00000 13.761347 14.988653 Simple effect of v2 at v1: Music
11 7.00000 8.556655 9.943345 Simple effect of v2 at v1: Music
12 13.79635 4.263328 5.986672 Simple effect of v2 at v1: Music
13 13.80490 3.878910 5.871090 Interaction of v1 and v2
14 13.79635 4.263328 5.986672 Interaction of v1 and v2
15 27.04290 -1.522315 1.022315 Interaction of v1 and v2
effects_complex
1 Silence
2 Music
3 Silence ‒ Music
4 Stressed
5 Calm
6 Stressed ‒ Calm
7 Silence: Stressed
8 Silence: Calm
9 Silence: Stressed ‒ Calm
10 Music: Stressed
11 Music: Calm
12 Music: Stressed ‒ Calm
13 Silence: Stressed ‒ Calm
14 Music: Stressed ‒ Calm
15 Difference of differences
-- es_median_difference --
type outcome_variable_name grouping_variable_name
1 Comparison o v1
2 Reference o v1
3 Difference o v1
4 Comparison o v2
5 Reference o v2
6 Difference o v2
7 Comparison o v2
8 Reference o v2
9 Difference o v2
10 Comparison o v2
11 Reference o v2
12 Difference o v2
13 Comparison o Interaction
14 Reference o Interaction
15 Difference o Interaction
effect effect_size LL UL SE
1 Silence 7.25 6.328988 8.1710123 0.4699129
2 Music 12.00 11.335849 12.6641514 0.3388590
3 Difference -4.75 -5.885500 -3.6144997 0.5793475
4 Stressed 12.25 11.585849 12.9141514 0.3388590
5 Calm 7.00 6.078988 7.9210123 0.4699129
6 Difference 5.25 4.114500 6.3855003 0.5793475
7 Stressed 9.50 8.394785 10.6052148 0.5638955
8 Calm 5.00 3.526380 6.4736198 0.7518606
9 Difference 4.50 2.657975 6.3420247 0.9398258
10 Stressed 15.00 14.263190 15.7368099 0.3759303
11 Calm 9.00 7.894785 10.1052148 0.5638955
12 Difference 6.00 4.671697 7.3283029 0.6777180
13 Simple effect of v2 at Silence 4.50 2.657975 6.3420247 0.9398258
14 Simple effect of v2 at Music 6.00 4.671697 7.3283029 0.6777180
15 Difference of differences -1.50 -3.771001 0.7710006 1.1586950
ta_LL ta_UL effect_type
1 6.477062 8.0229379 Main effect of v1
2 11.442627 12.5573735 Main effect of v1
3 -5.702942 -3.7970581 Main effect of v1
4 11.692627 12.8073735 Main effect of v2
5 6.227062 7.7729379 Main effect of v2
6 4.297058 6.2029419 Main effect of v2
7 8.572474 10.4275255 Simple effect of v2 at v1: Silence
8 3.763299 6.2367007 Simple effect of v2 at v1: Silence
9 2.954124 6.0458759 Simple effect of v2 at v1: Silence
10 14.381650 15.6183503 Simple effect of v2 at v1: Music
11 8.072474 9.9275255 Simple effect of v2 at v1: Music
12 4.885253 7.1147469 Simple effect of v2 at v1: Music
13 2.954124 6.0458759 Interaction of v1 and v2
14 4.885253 7.1147469 Interaction of v1 and v2
15 -3.405884 0.4058838 Interaction of v1 and v2
effects_complex
1 Silence
2 Music
3 Silence ‒ Music
4 Stressed
5 Calm
6 Stressed ‒ Calm
7 Silence: Stressed
8 Silence: Calm
9 Silence: Stressed ‒ Calm
10 Music: Stressed
11 Music: Calm
12 Music: Stressed ‒ Calm
13 Silence: Stressed ‒ Calm
14 Music: Stressed ‒ Calm
15 Difference of differences
-- es_smd --
outcome_variable_name grouping_variable_name effect
1 o v1 Difference
2 o v2 Difference
3 o v2 Difference
4 o v2 Difference
5 o Interaction Difference of differences
effect_size LL UL numerator denominator SE df d_biased
1 -4.4898249 -6.050227 -3.178857 -4.875 1.056443 0.7325059 28 -4.6145422
2 4.6049486 3.270077 6.195651 5.000 1.056443 0.7463337 28 4.7328638
3 4.4898249 2.950805 6.278279 4.875 1.056443 0.8488610 28 4.6145422
4 4.7200723 3.235320 6.467051 5.125 1.056443 0.8244361 28 4.8511854
5 -0.2302474 -1.719578 1.246292 -0.250 1.056443 0.7566135 28 -0.2366432
effect_type effects_complex
1 Main effect of v1 Silence ‒ Music
2 Main effect of v2 Stressed ‒ Calm
3 Simple effect of v2 at v1: Silence Silence: Stressed ‒ Calm
4 Simple effect of v2 at v1: Music Music: Stressed ‒ Calm
5 Interaction of v1 and v2 Difference of differences
This standardized mean difference is called d_avg because the standardizer used was s_avg. d_avg has been corrected for bias. Correction for bias can be important when df < 50. See the rightmost column for the biased value.
Note: LL and UL are lower and upper boundaries of confidence intervals with 95% expected coverage.
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Compare estimate_mdiff_2x2_between to ESCI_Ind_groups_2_x_2, Frenda
Code
estimates
Output
Analysis of raw data:
Outcome variable(s) = False Memory Score, False Memory Score, False Memory Score, False Memory Score, False Memory Score
Grouping variable(s) = Testing Time - Rest
---Overview---
outcome_variable_name grouping_variable_name grouping_variable_level mean
1 False Memory Score Testing Time Evening - Sleep 1.50
2 False Memory Score Testing Time Evening - No Sleep 1.14
3 False Memory Score Testing Time Morning - Sleep 1.38
4 False Memory Score Testing Time Morning - No Sleep 2.22
mean_LL mean_UL sd n df mean_SE grouping_variable_A_name
1 0.9535683 2.046432 1.38 26 99 0.2753891 Testing Time
2 0.5935683 1.686432 0.96 26 99 0.2753891 Testing Time
3 0.8227468 1.937253 1.50 25 99 0.2808429 Testing Time
4 1.6735683 2.766432 1.68 26 99 0.2753891 Testing Time
grouping_variable_B_name grouping_variable_A_level grouping_variable_B_level
1 Rest Evening Sleep
2 Rest Evening No Sleep
3 Rest Morning Sleep
4 Rest Morning No Sleep
-- es_mean_difference --
type outcome_variable_name grouping_variable_name
1 Comparison False Memory Score Testing Time
2 Reference False Memory Score Testing Time
3 Difference False Memory Score Testing Time
4 Comparison False Memory Score Rest
5 Reference False Memory Score Rest
6 Difference False Memory Score Rest
7 Comparison False Memory Score Rest
8 Reference False Memory Score Rest
9 Difference False Memory Score Rest
10 Comparison False Memory Score Rest
11 Reference False Memory Score Rest
12 Difference False Memory Score Rest
13 Comparison False Memory Score Interaction
14 Reference False Memory Score Interaction
15 Difference False Memory Score Interaction
effect effect_size LL UL SE
1 Morning 1.80 1.40976969 2.1902303 0.1966672
2 Evening 1.32 0.93361441 1.7063856 0.1947295
3 Difference 0.48 -0.06915710 1.0291571 0.2767626
4 No Sleep 1.68 1.29361441 2.0663856 0.1947295
5 Sleep 1.44 1.04976969 1.8302303 0.1966672
6 Difference 0.24 -0.30915710 0.7891571 0.2767626
7 No Sleep 2.22 1.67356826 2.7664317 0.2753891
8 Sleep 1.38 0.82274678 1.9372532 0.2808429
9 Difference 0.84 0.05953937 1.6204606 0.3933343
10 No Sleep 1.14 0.59356826 1.6864317 0.2753891
11 Sleep 1.50 0.95356826 2.0464317 0.2753891
12 Difference -0.36 -1.13277117 0.4127712 0.3894590
13 Simple effect of Rest at Morning 0.84 0.05953937 1.6204606 0.3933343
14 Simple effect of Rest at Evening -0.36 -1.13277117 0.4127712 0.3894590
15 Difference of differences 1.20 0.10168580 2.2983142 0.5535253
df ta_LL ta_UL effect_type
1 99 1.47345559 2.1265444 Main effect of Testing Time
2 99 0.99667285 1.6433271 Main effect of Testing Time
3 99 0.02046578 0.9395342 Main effect of Testing Time
4 99 1.35667285 2.0033271 Main effect of Rest
5 99 1.11345559 1.7665444 Main effect of Rest
6 99 -0.21953422 0.6995342 Main effect of Rest
7 99 1.76274636 2.6772536 Simple effect of Rest at Testing Time: Morning
8 99 0.91369095 1.8463090 Simple effect of Rest at Testing Time: Morning
9 99 0.18691117 1.4930888 Simple effect of Rest at Testing Time: Morning
10 99 0.68274636 1.5972536 Simple effect of Rest at Testing Time: Evening
11 99 1.04274636 1.9572536 Simple effect of Rest at Testing Time: Evening
12 99 -1.00665430 0.2866543 Simple effect of Rest at Testing Time: Evening
13 99 0.18691117 1.4930888 Interaction of Testing Time and Rest
14 99 -1.00665430 0.2866543 Interaction of Testing Time and Rest
15 99 0.28093156 2.1190684 Interaction of Testing Time and Rest
effects_complex
1 Morning
2 Evening
3 Morning ‒ Evening
4 No Sleep
5 Sleep
6 No Sleep ‒ Sleep
7 Morning: No Sleep
8 Morning: Sleep
9 Morning: No Sleep ‒ Sleep
10 Evening: No Sleep
11 Evening: Sleep
12 Evening: No Sleep ‒ Sleep
13 Morning: No Sleep ‒ Sleep
14 Evening: No Sleep ‒ Sleep
15 Difference of differences
-- es_smd --
outcome_variable_name grouping_variable_name effect
1 False Memory Score Testing Time Difference
2 False Memory Score Rest Difference
3 False Memory Score Rest Difference
4 False Memory Score Rest Difference
5 False Memory Score Interaction Difference of differences
effect_size LL UL numerator denominator SE df
1 0.3392309 -0.05078217 0.7275568 0.48 1.404214 0.1985595 99
2 0.1696154 -0.21782845 0.5562068 0.24 1.404214 0.1974616 99
3 0.5936540 0.03700651 1.1473703 0.84 1.404214 0.2832613 99
4 -0.2544232 -0.79853128 0.2909631 -0.36 1.404214 0.2779374 99
5 0.8480772 0.06443356 1.6275360 1.20 1.404214 0.3987579 99
d_biased effect_type
1 0.3418281 Main effect of Testing Time
2 0.1709141 Main effect of Rest
3 0.5981992 Simple effect of Rest at Testing Time: Morning
4 -0.2563711 Simple effect of Rest at Testing Time: Evening
5 0.8545703 Interaction of Testing Time and Rest
effects_complex
1 Morning ‒ Evening
2 No Sleep ‒ Sleep
3 Morning: No Sleep ‒ Sleep
4 Evening: No Sleep ‒ Sleep
5 Difference of differences
This standardized mean difference is called d_s because the standardizer used was s_p. d_s has been corrected for bias. Correction for bias can be important when df < 50. See the rightmost column for the biased value.
Note: LL and UL are lower and upper boundaries of confidence intervals with 95% expected coverage.
Code
mytesta
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect null_words confidence
1 Nil Hypothesis Test False Memory Score Difference 0.00 95
LL UL CI CI_compare
1 -0.0691571 1.029157 95% CI [-0.0691571, 1.029157] The 95% CI contains H_0
t df p p_result null_decision
1 1.734338 99 0.08597067 p ≥ 0.05 Fail to reject H_0
conclusion significant
1 At α = 0.05, 0.00 remains a plausible value of μ_diff FALSE
Code
mytestb
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect null_words confidence
1 Nil Hypothesis Test False Memory Score Difference 0.00 95
LL UL CI CI_compare
1 -0.3091571 0.7891571 95% CI [-0.3091571, 0.7891571] The 95% CI contains H_0
t df p p_result null_decision
1 0.8671691 99 0.3879464 p ≥ 0.05 Fail to reject H_0
conclusion significant
1 At α = 0.05, 0.00 remains a plausible value of μ_diff FALSE
Code
mytesti
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect
1 Nil Hypothesis Test False Memory Score Difference of differences
null_words confidence LL UL CI
1 0.00 95 0.1016858 2.298314 95% CI [0.1016858, 2.298314]
CI_compare t df p p_result null_decision
1 The 95% CI does not contain H_0 2.167923 99 0.03256134 p < 0.05 Reject H_0
conclusion significant
1 At α = 0.05, 0.00 is not a plausible value of μ_diff TRUE
Code
mytests1
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect null_words confidence
1 Nil Hypothesis Test False Memory Score Difference 0.00 95
LL UL CI
1 0.05953937 1.620461 95% CI [0.05953937, 1.620461]
CI_compare t df p p_result null_decision
1 The 95% CI does not contain H_0 2.135588 99 0.03517985 p < 0.05 Reject H_0
conclusion significant
1 At α = 0.05, 0.00 is not a plausible value of μ_diff TRUE
Code
mytests2
Output
$properties
$properties$effect_size_name
[1] "mean"
$properties$alpha
[1] 0.05
$properties$interval_null
[1] FALSE
$properties$rope
[1] 0 0
$properties$rope_units
[1] "raw"
$point_null
test_type outcome_variable_name effect null_words confidence
1 Nil Hypothesis Test False Memory Score Difference 0.00 95
LL UL CI CI_compare
1 -1.132771 0.4127712 95% CI [-1.132771, 0.4127712] The 95% CI contains H_0
t df p p_result null_decision
1 -0.9243591 99 0.357547 p ≥ 0.05 Fail to reject H_0
conclusion significant
1 At α = 0.05, 0.00 remains a plausible value of μ_diff FALSE
Compare estimate_mdiff_2x2_between to statpsych::ci.lc.stdmean.bs, Frenda
Code
estimates
Output
Analysis of raw data:
Outcome variable(s) = False Memory Score, False Memory Score, False Memory Score, False Memory Score, False Memory Score
Grouping variable(s) = Testing Time - Rest
---Overview---
outcome_variable_name grouping_variable_name grouping_variable_level mean
1 False Memory Score Testing Time Evening - Sleep 1.50
2 False Memory Score Testing Time Evening - No Sleep 1.14
3 False Memory Score Testing Time Morning - Sleep 1.38
4 False Memory Score Testing Time Morning - No Sleep 2.22
mean_LL mean_UL sd n df mean_SE grouping_variable_A_name
1 0.9426059 2.057394 1.38 26 25 0.2706403 Testing Time
2 0.7522476 1.527752 0.96 26 25 0.1882715 Testing Time
3 0.7608304 1.999170 1.50 25 24 0.3000000 Testing Time
4 1.5414333 2.898567 1.68 26 25 0.3294751 Testing Time
grouping_variable_B_name grouping_variable_A_level grouping_variable_B_level
1 Rest Evening Sleep
2 Rest Evening No Sleep
3 Rest Morning Sleep
4 Rest Morning No Sleep
-- es_mean_difference --
type outcome_variable_name grouping_variable_name
1 Comparison False Memory Score Testing Time
2 Reference False Memory Score Testing Time
3 Difference False Memory Score Testing Time
4 Comparison False Memory Score Rest
5 Reference False Memory Score Rest
6 Difference False Memory Score Rest
7 Comparison False Memory Score Rest
8 Reference False Memory Score Rest
9 Difference False Memory Score Rest
10 Comparison False Memory Score Rest
11 Reference False Memory Score Rest
12 Difference False Memory Score Rest
13 Comparison False Memory Score Interaction
14 Reference False Memory Score Interaction
15 Difference False Memory Score Interaction
effect effect_size LL UL SE
1 Morning 1.80 1.35221241 2.2477876 0.2227969
2 Evening 1.32 0.98790888 1.6520911 0.1648426
3 Difference 0.48 -0.07078234 1.0307823 0.2771489
4 No Sleep 1.68 1.29645382 2.0635462 0.1897367
5 Sleep 1.44 1.03387273 1.8461273 0.2020187
6 Difference 0.24 -0.31078234 0.7907823 0.2771489
7 No Sleep 2.22 1.54143331 2.8985667 0.3294751
8 Sleep 1.38 0.76083043 1.9991696 0.3000000
9 Difference 0.84 -0.05557518 1.7355752 0.4455938
10 No Sleep 1.14 0.75224761 1.5277524 0.1882715
11 Sleep 1.50 0.94260594 2.0573941 0.2706403
12 Difference -0.36 -1.02418224 0.3041822 0.3296852
13 Simple effect of Rest at Morning 0.84 -0.05557518 1.7355752 0.4455938
14 Simple effect of Rest at Evening -0.36 -1.02418224 0.3041822 0.3296852
15 Difference of differences 1.20 0.09843532 2.3015647 0.5542979
df ta_LL ta_UL
1 48.73990 1.42643123 2.1735688
2 44.60524 1.04310735 1.5968927
3 87.91926 0.01927583 0.9407242
4 39.75348 1.36046476 1.9995352
5 48.26899 1.10120657 1.7787934
6 87.91926 -0.22072417 0.7007242
7 25.00000 1.65721014 2.7827899
8 24.00000 0.86673538 1.8932646
9 48.73990 0.09286247 1.5871375
10 25.00000 0.81840579 1.4615942
11 25.00000 1.03770833 1.9622917
12 44.60524 -0.91378530 0.1937853
13 48.73990 0.09286247 1.5871375
14 44.60524 -0.91378530 0.1937853
15 87.91926 0.27855166 2.1214483
effect_type effects_complex
1 Main effect of Testing Time Morning
2 Main effect of Testing Time Evening
3 Main effect of Testing Time Morning ‒ Evening
4 Main effect of Rest No Sleep
5 Main effect of Rest Sleep
6 Main effect of Rest No Sleep ‒ Sleep
7 Simple effect of Rest at Testing Time: Morning Morning: No Sleep
8 Simple effect of Rest at Testing Time: Morning Morning: Sleep
9 Simple effect of Rest at Testing Time: Morning Morning: No Sleep ‒ Sleep
10 Simple effect of Rest at Testing Time: Evening Evening: No Sleep
11 Simple effect of Rest at Testing Time: Evening Evening: Sleep
12 Simple effect of Rest at Testing Time: Evening Evening: No Sleep ‒ Sleep
13 Interaction of Testing Time and Rest Morning: No Sleep ‒ Sleep
14 Interaction of Testing Time and Rest Evening: No Sleep ‒ Sleep
15 Interaction of Testing Time and Rest Difference of differences
-- es_smd --
outcome_variable_name grouping_variable_name effect
1 False Memory Score Testing Time Difference
2 False Memory Score Rest Difference
3 False Memory Score Rest Difference
4 False Memory Score Rest Difference
5 False Memory Score Interaction Difference of differences
effect_size LL UL numerator denominator SE df
1 0.3389929 -0.05593994 0.7391145 0.48 1.405205 0.2028237 99
2 0.1694965 -0.22432486 0.5659121 0.24 1.405205 0.2015948 99
3 0.5932376 -0.04238852 1.2379439 0.84 1.405205 0.3266214 99
4 -0.2542447 -0.72666264 0.2142817 -0.36 1.405205 0.2400412 99
5 0.8474823 0.05531974 1.6526166 1.20 1.405205 0.4074812 99
d_biased effect_type
1 0.3415873 Main effect of Testing Time
2 0.1707936 Main effect of Rest
3 0.5977777 Simple effect of Rest at Testing Time: Morning
4 -0.2561904 Simple effect of Rest at Testing Time: Evening
5 0.8539682 Interaction of Testing Time and Rest
effects_complex
1 Morning ‒ Evening
2 No Sleep ‒ Sleep
3 Morning: No Sleep ‒ Sleep
4 Evening: No Sleep ‒ Sleep
5 Difference of differences
This standardized mean difference is called d_avg because the standardizer used was s_avg. d_avg has been corrected for bias. Correction for bias can be important when df < 50. See the rightmost column for the biased value.
Note: LL and UL are lower and upper boundaries of confidence intervals with 95% expected coverage.
Test different call types to estimate_mdiff_2x2between and compare to statpsych::ci.lc.median.bs
Code
estimates
Output
Analysis of raw data:
Data frame = structure(list(v1 = structure(c(2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 1L, 1L, 1L, 1L, 1L, 1L, 1L, 1L), levels = c("Music", "Silence"
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = ), class = "factor"), v2 = structure(c(1L, 1L, 1L, 1L, 1L, 1L,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 1L, 1L, 1L, 1L, 1L, 1L,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 1L, 1L, 2L, 2L, 2L, 2L, 2L, 2L, 2L, 2L), levels = c("Calm", "Stressed"
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = ), class = "factor"), o = c(5, 5, 4, 4, 2, 5, 6, 5, 10, 10, 8,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 9, 11, 9, 10, 8, 8, 11, 10, 9, 8, 9, 10, 9, 15, 15, 13, 14, 15,
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
Analysis of raw data:
Data frame = 15, 13, 15)), row.names = c(NA, 32L), class = "data.frame")
Outcome variable(s) = o, o, o, o, o
Grouping variable(s) = v1 - v2
---Overview---
outcome_variable_name grouping_variable_name grouping_variable_level mean
1 o v2 Music - Calm 9.250
2 o v2 Music - Stressed 14.375
3 o v2 Silence - Calm 4.500
4 o v2 Silence - Stressed 9.375
mean_LL mean_UL median median_LL median_UL sd min max q1 q3 n
1 8.384636 10.115364 9.0 7.894785 10.10521 1.0350983 8 11 8.75 10 8
2 13.609100 15.140900 15.0 14.263190 15.73681 0.9161254 13 15 13.75 15 8
3 3.500764 5.499236 5.0 3.526380 6.47362 1.1952286 2 6 4.00 5 8
4 8.488266 10.261734 9.5 8.394785 10.60521 1.0606602 8 11 8.75 10 8
missing df mean_SE median_SE grouping_variable_A_name
1 0 7 0.3659625 0.5638955 v1
2 0 7 0.3238992 0.3759303 v1
3 0 7 0.4225771 0.7518606 v1
4 0 7 0.3750000 0.5638955 v1
grouping_variable_B_name grouping_variable_A_level grouping_variable_B_level
1 v2 Music Calm
2 v2 Music Stressed
3 v2 Silence Calm
4 v2 Silence Stressed
-- es_mean_difference --
type outcome_variable_name grouping_variable_name
1 Comparison o v1
2 Reference o v1
3 Difference o v1
4 Comparison o v2
5 Reference o v2
6 Difference o v2
7 Comparison o v2
8 Reference o v2
9 Difference o v2
10 Comparison o v2
11 Reference o v2
12 Difference o v2
13 Comparison o Interaction
14 Reference o Interaction
15 Difference o Interaction
effect effect_size LL UL SE
1 Silence 6.9375 6.330821 7.544179 0.2824874
2 Music 11.8125 11.287682 12.337318 0.2443559
3 Difference -4.8750 -5.641320 -4.108680 0.3735089
4 Stressed 11.8750 11.342556 12.407444 0.2477578
5 Calm 6.8750 6.274364 7.475636 0.2795085
6 Difference 5.0000 4.233680 5.766320 0.3735089
7 Stressed 9.3750 8.488266 10.261734 0.3750000
8 Calm 4.5000 3.500764 5.499236 0.4225771
9 Difference 4.8750 3.661641 6.088359 0.5649747
10 Stressed 14.3750 13.609100 15.140900 0.3238992
11 Calm 9.2500 8.384636 10.115364 0.3659625
12 Difference 5.1250 4.075364 6.174636 0.4887119
13 Simple effect of v2 at Silence 4.8750 3.661641 6.088359 0.5649747
14 Simple effect of v2 at Music 5.1250 4.075364 6.174636 0.4887119
15 Difference of differences -0.2500 -1.782640 1.282640 0.7470179
df ta_LL ta_UL effect_type
1 13.80490 6.439455 7.435545 Main effect of v1
2 13.79635 11.381664 12.243336 Main effect of v1
3 27.04290 -5.511158 -4.238842 Main effect of v1
4 13.70994 11.437968 12.312032 Main effect of v2
5 13.72000 6.381988 7.368012 Main effect of v2
6 27.04290 4.363842 5.636158 Main effect of v2
7 7.00000 8.664533 10.085467 Simple effect of v2 at v1: Silence
8 7.00000 3.699394 5.300606 Simple effect of v2 at v1: Silence
9 13.80490 3.878910 5.871090 Simple effect of v2 at v1: Silence
10 7.00000 13.761347 14.988653 Simple effect of v2 at v1: Music
11 7.00000 8.556655 9.943345 Simple effect of v2 at v1: Music
12 13.79635 4.263328 5.986672 Simple effect of v2 at v1: Music
13 13.80490 3.878910 5.871090 Interaction of v1 and v2
14 13.79635 4.263328 5.986672 Interaction of v1 and v2
15 27.04290 -1.522315 1.022315 Interaction of v1 and v2
effects_complex
1 Silence
2 Music
3 Silence ‒ Music
4 Stressed
5 Calm
6 Stressed ‒ Calm
7 Silence: Stressed
8 Silence: Calm
9 Silence: Stressed ‒ Calm
10 Music: Stressed
11 Music: Calm
12 Music: Stressed ‒ Calm
13 Silence: Stressed ‒ Calm
14 Music: Stressed ‒ Calm
15 Difference of differences
-- es_median_difference --
type outcome_variable_name grouping_variable_name
1 Comparison o v1
2 Reference o v1
3 Difference o v1
4 Comparison o v2
5 Reference o v2
6 Difference o v2
7 Comparison o v2
8 Reference o v2
9 Difference o v2
10 Comparison o v2
11 Reference o v2
12 Difference o v2
13 Comparison o Interaction
14 Reference o Interaction
15 Difference o Interaction
effect effect_size LL UL SE
1 Silence 7.25 6.328988 8.1710123 0.4699129
2 Music 12.00 11.335849 12.6641514 0.3388590
3 Difference -4.75 -5.885500 -3.6144997 0.5793475
4 Stressed 12.25 11.585849 12.9141514 0.3388590
5 Calm 7.00 6.078988 7.9210123 0.4699129
6 Difference 5.25 4.114500 6.3855003 0.5793475
7 Stressed 9.50 8.394785 10.6052148 0.5638955
8 Calm 5.00 3.526380 6.4736198 0.7518606
9 Difference 4.50 2.657975 6.3420247 0.9398258
10 Stressed 15.00 14.263190 15.7368099 0.3759303
11 Calm 9.00 7.894785 10.1052148 0.5638955
12 Difference 6.00 4.671697 7.3283029 0.6777180
13 Simple effect of v2 at Silence 4.50 2.657975 6.3420247 0.9398258
14 Simple effect of v2 at Music 6.00 4.671697 7.3283029 0.6777180
15 Difference of differences -1.50 -3.771001 0.7710006 1.1586950
ta_LL ta_UL effect_type
1 6.477062 8.0229379 Main effect of v1
2 11.442627 12.5573735 Main effect of v1
3 -5.702942 -3.7970581 Main effect of v1
4 11.692627 12.8073735 Main effect of v2
5 6.227062 7.7729379 Main effect of v2
6 4.297058 6.2029419 Main effect of v2
7 8.572474 10.4275255 Simple effect of v2 at v1: Silence
8 3.763299 6.2367007 Simple effect of v2 at v1: Silence
9 2.954124 6.0458759 Simple effect of v2 at v1: Silence
10 14.381650 15.6183503 Simple effect of v2 at v1: Music
11 8.072474 9.9275255 Simple effect of v2 at v1: Music
12 4.885253 7.1147469 Simple effect of v2 at v1: Music
13 2.954124 6.0458759 Interaction of v1 and v2
14 4.885253 7.1147469 Interaction of v1 and v2
15 -3.405884 0.4058838 Interaction of v1 and v2
effects_complex
1 Silence
2 Music
3 Silence ‒ Music
4 Stressed
5 Calm
6 Stressed ‒ Calm
7 Silence: Stressed
8 Silence: Calm
9 Silence: Stressed ‒ Calm
10 Music: Stressed
11 Music: Calm
12 Music: Stressed ‒ Calm
13 Silence: Stressed ‒ Calm
14 Music: Stressed ‒ Calm
15 Difference of differences
-- es_smd --
outcome_variable_name grouping_variable_name effect
1 o v1 Difference
2 o v2 Difference
3 o v2 Difference
4 o v2 Difference
5 o Interaction Difference of differences
effect_size LL UL numerator denominator SE df d_biased
1 -4.4898249 -6.050227 -3.178857 -4.875 1.056443 0.7325059 28 -4.6145422
2 4.6049486 3.270077 6.195651 5.000 1.056443 0.7463337 28 4.7328638
3 4.4898249 2.950805 6.278279 4.875 1.056443 0.8488610 28 4.6145422
4 4.7200723 3.235320 6.467051 5.125 1.056443 0.8244361 28 4.8511854
5 -0.2302474 -1.719578 1.246292 -0.250 1.056443 0.7566135 28 -0.2366432
effect_type effects_complex
1 Main effect of v1 Silence ‒ Music
2 Main effect of v2 Stressed ‒ Calm
3 Simple effect of v2 at v1: Silence Silence: Stressed ‒ Calm
4 Simple effect of v2 at v1: Music Music: Stressed ‒ Calm
5 Interaction of v1 and v2 Difference of differences
This standardized mean difference is called d_avg because the standardizer used was s_avg. d_avg has been corrected for bias. Correction for bias can be important when df < 50. See the rightmost column for the biased value.
Note: LL and UL are lower and upper boundaries of confidence intervals with 95% expected coverage.
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