eohi/eohi1/results - exp1 - mixed anova DGEN.md
2025-12-23 15:47:09 -05:00

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\+ ... OHI\\eohi1"; Rscript "mixed anova - DGEN.r" > "results - exp1 - mixed ...
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ℹ Use the conflicted package (<http://conflicted.r-lib.org/>) to force all conflicts to become errors
Loading required package: carData
Attaching package: 'car'
The following object is masked from 'package:dplyr':
&nbsp; recode
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Loading required package: lme4
Loading required package: Matrix
Attaching package: 'Matrix'
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&nbsp; expand, pack, unpack
\*\*\*\*\*\*\*\*\*\*\*\*
Welcome to afex. For support visit: http://afex.singmann.science/
\- Functions for ANOVAs: aov\_car(), aov\_ez(), and aov\_4()
\- Methods for calculating p-values with mixed(): 'S', 'KR', 'LRT', and 'PB'
\- 'afex\_aov' and 'mixed' objects can be passed to emmeans() for follow-up tests
\- Get and set global package options with: afex\_options()
\- Set sum-to-zero contrasts globally: set\_sum\_contrasts()
\- For example analyses see: browseVignettes("afex")
\*\*\*\*\*\*\*\*\*\*\*\*
Attaching package: 'afex'
The following object is masked from 'package:lme4':
&nbsp; lmer
Welcome to emmeans.
Caution: You lose important information if you filter this package's results.
See '? untidy'
Warning message:
package 'effsize' was built under R version 4.4.3
Registered S3 methods overwritten by 'parameters':
&nbsp; method from
&nbsp; display.parameters\_distribution datawizard
&nbsp; plot.parameters\_distribution datawizard
&nbsp; print\_md.parameters\_distribution datawizard
\[1] "Dataset dimensions: 1063 x689"
\[1] "Number of participants: 1063"
\[1] "All required DGEN variables found!"
\[1] "Long data dimensions: 8504 x6"
\[1] "Number of participants: 1063"
\[1] "Descriptive statistics by TIME and DOMAIN:"
\# A tibble: 8 × 11
&nbsp; TIME DOMAIN n mean variance sd median q1 q3 min max
&nbsp; <fct> <fct> <int> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
1 Past Preferences 1063 4.45 8.17 2.86 5 2 7 0 10
2 Past Personality 1063 4.67 8.12 2.85 5 2 7 0 10
3 Past Values 1063 4.41 8.50 2.91 4 2 7 0 10
4 Past Life 1063 5.46 8.02 2.83 6 3 8 0 10
5 Future Preferences 1063 4.14 7.97 2.82 4 2 6 0 10
6 Future Personality 1063 4.23 7.92 2.81 4 2 6 0 10
7 Future Values 1063 3.92 7.94 2.82 3 2 6 0 10
8 Future Life 1063 5.05 8.11 2.85 5 3 7 0 10
\[1] "Descriptive statistics by TEMPORAL\_DO, TIME, and DOMAIN:"
\# A tibble: 16 × 7
&nbsp; TEMPORAL\_DO TIME DOMAIN n mean variance sd
&nbsp; <fct> <fct> <fct> <int> <dbl> <dbl> <dbl>
&nbsp;1 01PAST Past Preferences 536 4.52 8.58 2.93
&nbsp;2 01PAST Past Personality 536 4.79 8.18 2.86
&nbsp;3 01PAST Past Values 536 4.49 8.35 2.89
&nbsp;4 01PAST Past Life 536 5.73 7.71 2.78
&nbsp;5 01PAST Future Preferences 536 4.16 8.16 2.86
&nbsp;6 01PAST Future Personality 536 4.32 8.00 2.83
&nbsp;7 01PAST Future Values 536 4.01 8.04 2.84
&nbsp;8 01PAST Future Life 536 5.20 8.21 2.87
&nbsp;9 02FUT Past Preferences 527 4.39 7.76 2.79
10 02FUT Past Personality 527 4.55 8.04 2.84
11 02FUT Past Values 527 4.34 8.65 2.94
12 02FUT Past Life 527 5.19 8.20 2.86
13 02FUT Future Preferences 527 4.13 7.79 2.79
14 02FUT Future Personality 527 4.14 7.83 2.80
15 02FUT Future Values 527 3.83 7.84 2.80
16 02FUT Future Life 527 4.90 7.97 2.82
\[1] "Data after removing missing values: 8504 x6"
\[1] "Missing values by TIME and DOMAIN:"
\# A tibble: 8 × 5
&nbsp; TIME DOMAIN n\_total n\_missing pct\_missing
&nbsp; <fct> <fct> <int> <int> <dbl>
1 Past Preferences 1063 0 0
2 Past Personality 1063 0 0
3 Past Values 1063 0 0
4 Past Life 1063 0 0
5 Future Preferences 1063 0 0
6 Future Personality 1063 0 0
7 Future Values 1063 0 0
8 Future Life 1063 0 0
\[1] "Outlier summary (IQR method):"
\# A tibble: 8 × 11
&nbsp; TIME DOMAIN n mean sd q1 q3 iqr lower\_bound upper\_bound
&nbsp; <fct> <fct> <int> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
1 Past Preferences 1063 4.45 2.86 2 7 5 -5.5 14.5
2 Past Personality 1063 4.67 2.85 2 7 5 -5.5 14.5
3 Past Values 1063 4.41 2.91 2 7 5 -5.5 14.5
4 Past Life 1063 5.46 2.83 3 8 5 -4.5 15.5
5 Future Preferences 1063 4.14 2.82 2 6 4 -4 12
6 Future Personality 1063 4.23 2.81 2 6 4 -4 12
7 Future Values 1063 3.92 2.82 2 6 4 -4 12
8 Future Life 1063 5.05 2.85 3 7 4 -3 13
\# ℹ 1 more variable: n\_outliers <int>
\[1] "Anderson-Darling normality test results:"
\# A tibble: 8 × 5
&nbsp; TIME DOMAIN n ad\_statistic ad\_p\_value
&nbsp; <fct> <fct> <dbl> <dbl> <dbl>
1 Past Preferences 1063 13.8 0
2 Past Personality 1063 13.6 0
3 Past Values 1063 16.3 0
4 Past Life 1063 13.0 0
5 Future Preferences 1063 17.4 0
6 Future Personality 1063 16.9 0
7 Future Values 1063 21.7 0
8 Future Life 1063 12.1 0
\[1] "Homogeneity of variance across TIME within each DOMAIN:"
\# A tibble: 4 × 3
&nbsp; DOMAIN levene\_F levene\_p
&nbsp; <fct> <dbl> <dbl>
1 Preferences 0.115 0.735
2 Personality 0.0390 0.843
3 Values 1.50 0.221
4 Life 0.453 0.501
\[1] "Homogeneity of variance across DOMAIN within each TIME:"
\# A tibble: 2 × 3
&nbsp; TIME levene\_F levene\_p
&nbsp; <fct> <dbl> <dbl>
1 Past 1.43 0.233
2 Future 0.818 0.484
\[1] "=== CHECKING TEMPORAL\_DO VALUES ==="
\[1] "Unique TEMPORAL\_DO values:"
\[1] 01PAST 02FUT
Levels: 01PAST 02FUT
\[1] "TEMPORAL\_DO value counts:"
01PAST 02FUT
&nbsp; 4288 4216
\[1] "\\n=== OBSERVED F-MAX RATIOS: TEMPORAL\_DO within each TIME × DOMAIN combination ==="
\# A tibble: 8 × 5
&nbsp; TIME DOMAIN past\_var fut\_var f\_max\_ratio
&nbsp; <fct> <fct> <dbl> <dbl> <dbl>
1 Past Preferences 8.58 7.76 1.11
2 Past Personality 8.18 8.04 1.02
3 Past Values 8.35 8.65 1.04
4 Past Life 7.71 8.20 1.06
5 Future Preferences 8.16 7.79 1.05
6 Future Personality 8.00 7.83 1.02
7 Future Values 8.04 7.84 1.03
8 Future Life 8.21 7.97 1.03
\[1] "\\n=== HARTLEY'S F-MAX TEST RESULTS ==="
\# A tibble: 8 × 5
&nbsp; TIME DOMAIN observed\_ratio critical\_95 significant
&nbsp; <fct> <fct> <dbl> <dbl> <lgl>
1 Past Preferences 1.11 1.23 FALSE
2 Past Personality 1.02 1.12 FALSE
3 Past Values 1.04 1.14 FALSE
4 Past Life 1.06 1.18 FALSE
5 Future Preferences 1.05 1.17 FALSE
6 Future Personality 1.02 1.15 FALSE
7 Future Values 1.03 1.15 FALSE
8 Future Life 1.03 1.15 FALSE
\[1] "Data size for ANOVA: 8504 rows"
\[1] "Number of participants: 1063"
\[1] "Design factors: TIME (2), DOMAIN (4), TEMPORAL\_DO (2)"
\[1] "Complete cases: 8504 out of 8504"
\[1] "Design is balanced: each participant has data for all TIME × DOMAIN combinations"
\[1] "\\n=== MIXED ANOVA RESULTS (with sphericity corrections) ==="
Warning: Data is unbalanced (unequal N per group). Make sure you specified a well-considered value for the type
argument to ezANOVA().
\[1] "ANOVA Results:"
&nbsp; Effect DFn DFd SSn SSd F
1 (Intercept) 1 1061 175403.313893 45334.099 4105.1420831
2 TEMPORAL\_DO 1 1061 104.781437 45334.099 2.4523065
**3 TIME 1 1061 363.139680 5710.697 67.4683362**
**4 DOMAIN 3 3183 1524.702983 10462.463 154.6203659**
5 TEMPORAL\_DO:TIME 1 1061 4.340056 5710.697 0.8063464
**6 TEMPORAL\_DO:DOMAIN 3 3183 33.288120 10462.463 3.3757534**
7 TIME:DOMAIN 3 3183 9.191110 7100.516 1.3733886
8 TEMPORAL\_DO:TIME:DOMAIN 3 3183 4.974741 7100.516 0.7433545
&nbsp; p
1 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
2 0.11765050104906209227362268165961722843348979949951171875000000000000000000000000000000000000000000
3 0.00000000000000061782799119098067114168315594469049756298772990703582763671875000000000000000000000
4 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000150209
5 0.36940636618506739186074128156178630888462066650390625000000000000000000000000000000000000000000000
6 0.01763146579785550976948726997761696111410856246948242187500000000000000000000000000000000000000000
7 0.24898565439172731794670312410744372755289077758789062500000000000000000000000000000000000000000000
8 0.52613525007520434151331301109166815876960754394531250000000000000000000000000000000000000000000000
&nbsp; p<.05 ges
1 \* 0.71883337333
2 0.00152492417
**3 \* 0.00526511333**
**4 \* 0.02174032681**
5 0.00006325496
**6 \* 0.00048495927**
7 0.00013394807
8 0.00007250462
\[1] "\\nMauchly's Test of Sphericity:"
&nbsp; Effect W p
5 DOMAIN 0.8712463 0.000000000000000000000000000009197155
6 TEMPORAL\_DO:DOMAIN 0.8712463 0.000000000000000000000000000009197155
7 TIME:DOMAIN 0.9366421 0.000000000000139056847839002402420980
8 TEMPORAL\_DO:TIME:DOMAIN 0.9366421 0.000000000000139056847839002402420980
&nbsp; p<.05
5 \*
6 \*
7 \*
8 \*
**\[1] "\\nGreenhouse-Geisser and Huynh-Feldt Corrections:"**
**Effect GGe**
**5 DOMAIN 0.9120175**
**6 TEMPORAL\_DO:DOMAIN 0.9120175**
7 TIME:DOMAIN 0.9556034
8 TEMPORAL\_DO:TIME:DOMAIN 0.9556034
&nbsp; p\[GG]
5 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000001345237
6 0.0210110642827151770928306717678424320183694362640380859375000000000000000000000000000000000
7 0.2499237624236494703655608873305027373135089874267578125000000000000000000000000000000000000
8 0.5204622528563578320870419702259823679924011230468750000000000000000000000000000000000000000
&nbsp; p\[GG]<.05 HFe
**5 \* 0.9146073**
**6 \* 0.9146073**
7 0.9584655
8 0.9584655
&nbsp; p\[HF]
5 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000007847038
6 0.02090266902721321304325918788435956230387091636657714843750000000000000000000000000000000000
7 0.24986536855461360939756332300021313130855560302734375000000000000000000000000000000000000000
8 0.52083559605373963563579309266060590744018554687500000000000000000000000000000000000000000000
&nbsp; p\[HF]<.05
5 \*
6 \*
7
8
=== CORRECTED DEGREES OF FREEDOM ===
**Effect Original\_DFn Original\_DFd GG\_DFn GG\_DFd HF\_DFn**
**1 DOMAIN 3 3183 2.736053 2902.952 2.743822**
**2 TEMPORAL\_DO:DOMAIN 3 3183 2.736053 2902.952 2.743822**
3 TIME:DOMAIN 3 3183 2.866810 3041.686 2.875396
4 TEMPORAL\_DO:TIME:DOMAIN 3 3183 2.866810 3041.686 2.875396
**HF\_DFd GG\_epsilon HF\_epsilon**
**1 2911.195 0.9120175 0.9146073**
**2 2911.195 0.9120175 0.9146073**
3 3050.796 0.9556034 0.9584655
4 3050.796 0.9556034 0.9584655
=== CORRECTED F-TESTS ===
**DOMAIN:**
**Original: F(3, 3183) = 154.620**
**GG-corrected: F(2.74, 2902.95) = 154.620, p = 0.000000**
**HF-corrected: F(2.74, 2911.20) = 154.620, p = 0.000000**
**TEMPORAL\_DO:DOMAIN:**
**Original: F(3, 3183) = 3.376**
**GG-corrected: F(2.74, 2902.95) = 3.376, p = 0.021011**
**HF-corrected: F(2.74, 2911.20) = 3.376, p = 0.020903**
TIME:DOMAIN:
&nbsp; Original: F(3, 3183) = 1.373
&nbsp; GG-corrected: F(2.87, 3041.69) = 1.373, p = 0.249924
&nbsp; HF-corrected: F(2.88, 3050.80) = 1.373, p = 0.249865
TEMPORAL\_DO:TIME:DOMAIN:
&nbsp; Original: F(3, 3183) = 0.743
&nbsp; GG-corrected: F(2.87, 3041.69) = 0.743, p = 0.520462
&nbsp; HF-corrected: F(2.88, 3050.80) = 0.743, p = 0.520836
\[1] "\\n=== EFFECT SIZES (GENERALIZED ETA SQUARED) ==="
\[1] "Generalized Eta Squared:"
&nbsp; Effect ges
1 (Intercept) 0.71883
2 TEMPORAL\_DO 0.00152
**3 TIME 0.00527**
**5 DOMAIN 0.02174**
4 TEMPORAL\_DO:TIME 0.00006
**6 TEMPORAL\_DO:DOMAIN 0.00048**
7 TIME:DOMAIN 0.00013
8 TEMPORAL\_DO:TIME:DOMAIN 0.00007
\[1] "\\n=== POST-HOC COMPARISONS ==="
**\[1] "Main Effect of TIME:"**
NOTE: Results may be misleading due to involvement in interactions
\[1] "Estimated Marginal Means:"
&nbsp;TIME emmean SE df lower.CL upper.CL
&nbsp;Past 4.75 0.0752 1324 4.60 4.90
&nbsp;Future 4.34 0.0752 1324 4.19 4.48
Results are averaged over the levels of: TEMPORAL\_DO, DOMAIN
Warning: EMMs are biased unless design is perfectly balanced
Confidence level used: 0.95
**\[1] "\\nPairwise Contrasts:"**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.413 0.0503 1061 8.214 <.0001**
Results are averaged over the levels of: TEMPORAL\_DO, DOMAIN
**\[1] "\\nMain Effect of DOMAIN:"**
NOTE: Results may be misleading due to involvement in interactions
\[1] "Estimated Marginal Means:"
&nbsp;DOMAIN emmean SE df lower.CL upper.CL
&nbsp;Preferences 4.30 0.0786 1579 4.14 4.45
&nbsp;Personality 4.45 0.0786 1579 4.30 4.61
&nbsp;Values 4.17 0.0786 1579 4.01 4.32
&nbsp;Life 5.26 0.0786 1579 5.10 5.41
Results are averaged over the levels of: TEMPORAL\_DO, TIME
Warning: EMMs are biased unless design is perfectly balanced
Confidence level used: 0.95
\[1] "\\nPairwise Contrasts:"
&nbsp;contrast estimate SE df t.ratio p.value
**Preferences - Personality -0.153 0.0556 3183 -2.747 0.0362**
&nbsp;Preferences - Values 0.132 0.0556 3183 2.375 0.1057
**Preferences - Life -0.957 0.0556 3183 -17.204 <.0001**
**Personality - Values 0.285 0.0556 3183 5.122 <.0001**
**Personality - Life -0.804 0.0556 3183 -14.456 <.0001**
**Values - Life -1.089 0.0556 3183 -19.579 <.0001**
Results are averaged over the levels of: TEMPORAL\_DO, TIME
P value adjustment: bonferroni method for 6 tests
\[1] "\\nMain Effect of TEMPORAL\_DO:"
NOTE: Results may be misleading due to involvement in interactions
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;01PAST - 02FUT 0.222 0.142 1061 1.566 0.1177
Results are averaged over the levels of: TIME, DOMAIN
\[1] "\\n=== TEMPORAL\_DO ù TIME INTERACTION ==="
NOTE: Results may be misleading due to involvement in interactions
\[1] "Estimated Marginal Means:"
&nbsp;TEMPORAL\_DO TIME emmean SE df lower.CL upper.CL
&nbsp;01PAST Past 4.88 0.106 1322 4.67 5.09
&nbsp;02FUT Past 4.62 0.106 1326 4.41 4.82
&nbsp;01PAST Future 4.42 0.106 1322 4.22 4.63
&nbsp;02FUT Future 4.25 0.106 1326 4.04 4.46
Results are averaged over the levels of: DOMAIN
Warning: EMMs are biased unless design is perfectly balanced
Confidence level used: 0.95
\[1] "\\**nSimple Effects of TIME within each TEMPORAL\_DO:**"
**TEMPORAL\_DO = 01PAST:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.458 0.0709 1061 6.471 <.0001**
**TEMPORAL\_DO = 02FUT:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.368 0.0715 1061 5.151 <.0001**
Results are averaged over the levels of: DOMAIN
\[1] "\\nSimple Effects of TEMPORAL\_DO within each TIME:"
TIME = Past:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;01PAST - 02FUT 0.267 0.15 1324 1.776 0.0759
TIME = Future:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;01PAST - 02FUT 0.177 0.15 1324 1.175 0.2400
Results are averaged over the levels of: DOMAIN
\[1] "\\n=== **TIME × DOMAIN INTERACTION** ==="
NOTE: Results may be misleading due to involvement in interactions
\[1] "Estimated Marginal Means:"
&nbsp;TIME DOMAIN emmean SE df lower.CL upper.CL
&nbsp;Past Preferences 4.45 0.0872 2333 4.28 4.62
&nbsp;Future Preferences 4.14 0.0872 2333 3.97 4.31
&nbsp;Past Personality 4.67 0.0872 2333 4.50 4.84
&nbsp;Future Personality 4.23 0.0872 2333 4.06 4.40
&nbsp;Past Values 4.41 0.0872 2333 4.24 4.58
&nbsp;Future Values 3.92 0.0872 2333 3.75 4.09
&nbsp;Past Life 5.46 0.0872 2333 5.29 5.63
&nbsp;Future Life 5.05 0.0872 2333 4.88 5.22
Results are averaged over the levels of: TEMPORAL\_DO
Warning: EMMs are biased unless design is perfectly balanced
Confidence level used: 0.95
\[1] "\\nSimple Effects of DOMAIN within each TIME:"
TIME = Past:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Preferences - Personality -0.2187 0.072 6141 -3.036 0.0145
&nbsp;Preferences - Values 0.0424 0.072 6141 0.588 1.0000
&nbsp;Preferences - Life -1.0058 0.072 6141 -13.960 <.0001
&nbsp;Personality - Values 0.2611 0.072 6141 3.624 0.0018
&nbsp;Personality - Life -0.7871 0.072 6141 -10.924 <.0001
&nbsp;Values - Life -1.0482 0.072 6141 -14.549 <.0001
TIME = Future:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Preferences - Personality -0.0868 0.072 6141 -1.205 1.0000
&nbsp;Preferences - Values 0.2217 0.072 6141 3.078 0.0126
&nbsp;Preferences - Life -0.9076 0.072 6141 -12.597 <.0001
&nbsp;Personality - Values 0.3086 0.072 6141 4.283 0.0001
&nbsp;Personality - Life -0.8207 0.072 6141 -11.391 <.0001
&nbsp;Values - Life -1.1293 0.072 6141 -15.674 <.0001
Results are averaged over the levels of: TEMPORAL\_DO
P value adjustment: bonferroni method for 6 tests
**\[1] "\\nSimple Effects of TIME within each DOMAIN:"**
**DOMAIN = Preferences:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.311 0.0754 3524 4.126 <.0001**
**DOMAIN = Personality:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.443 0.0754 3524 5.875 <.0001**
**DOMAIN = Values:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.490 0.0754 3524 6.506 <.0001**
**DOMAIN = Life:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.409 0.0754 3524 5.429 <.0001**
Results are averaged over the levels of: TEMPORAL\_DO
\[1] "\\n=== TEMPORAL\_DO ù DOMAIN INTERACTION ==="
NOTE: Results may be misleading due to involvement in interactions
\[1] "Estimated Marginal Means:"
&nbsp;TEMPORAL\_DO DOMAIN emmean SE df lower.CL upper.CL
&nbsp;01PAST Preferences 4.34 0.111 1575 4.12 4.56
&nbsp;02FUT Preferences 4.26 0.111 1584 4.04 4.48
&nbsp;01PAST Personality 4.56 0.111 1575 4.34 4.78
&nbsp;02FUT Personality 4.34 0.111 1584 4.13 4.56
&nbsp;01PAST Values 4.25 0.111 1575 4.03 4.47
&nbsp;02FUT Values 4.08 0.111 1584 3.86 4.30
&nbsp;01PAST Life 5.47 0.111 1575 5.25 5.68
&nbsp;02FUT Life 5.04 0.111 1584 4.83 5.26
Results are averaged over the levels of: TIME
Warning: EMMs are biased unless design is perfectly balanced
Confidence level used: 0.95
\[1] "\\nSimple Effects of DOMAIN within each TEMPORAL\_DO:"
TEMPORAL\_DO = 01PAST:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Preferences - Personality -0.2183 0.0783 3183 -2.787 0.0321
&nbsp;Preferences - Values 0.0886 0.0783 3183 1.132 1.0000
&nbsp;Preferences - Life -1.1269 0.0783 3183 -14.390 <.0001
&nbsp;Personality - Values 0.3069 0.0783 3183 3.919 0.0005
&nbsp;Personality - Life -0.9086 0.0783 3183 -11.602 <.0001
&nbsp;Values - Life -1.2155 0.0783 3183 -15.521 <.0001
TEMPORAL\_DO = 02FUT:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Preferences - Personality -0.0873 0.0790 3183 -1.105 1.0000
&nbsp;Preferences - Values 0.1755 0.0790 3183 2.222 0.1579
&nbsp;Preferences - Life -0.7865 0.0790 3183 -9.959 <.0001
&nbsp;Personality - Values 0.2628 0.0790 3183 3.328 0.0053
&nbsp;Personality - Life -0.6992 0.0790 3183 -8.854 <.0001
&nbsp;Values - Life -0.9620 0.0790 3183 -12.182 <.0001
Results are averaged over the levels of: TIME
P value adjustment: bonferroni method for 6 tests
\[1] "\\nSimple Effects of TEMPORAL\_DO within each DOMAIN:"
DOMAIN = Preferences:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;01PAST - 02FUT 0.0825 0.157 1579 0.524 0.6002
DOMAIN = Personality:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;01PAST - 02FUT 0.2134 0.157 1579 1.357 0.1749
DOMAIN = Values:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;01PAST - 02FUT 0.1694 0.157 1579 1.077 0.2818
DOMAIN = Life:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;01PAST - 02FUT 0.4228 0.157 1579 2.688 0.0073
Results are averaged over the levels of: TIME
\[1] "\\n=== THREE-WAY INTERACTION ANALYSIS ==="
\[1] "Estimated Marginal Means:"
&nbsp;TEMPORAL\_DO TIME DOMAIN emmean SE df lower.CL upper.CL
&nbsp;01PAST Past Preferences 4.52 0.123 2321 4.28 4.76
&nbsp;02FUT Past Preferences 4.39 0.123 2344 4.14 4.63
&nbsp;01PAST Future Preferences 4.16 0.123 2321 3.92 4.40
&nbsp;02FUT Future Preferences 4.13 0.123 2344 3.89 4.37
&nbsp;01PAST Past Personality 4.80 0.123 2321 4.55 5.04
&nbsp;02FUT Past Personality 4.55 0.123 2344 4.31 4.79
&nbsp;01PAST Future Personality 4.32 0.123 2321 4.08 4.56
&nbsp;02FUT Future Personality 4.14 0.123 2344 3.90 4.38
&nbsp;01PAST Past Values 4.49 0.123 2321 4.24 4.73
&nbsp;02FUT Past Values 4.34 0.123 2344 4.09 4.58
&nbsp;01PAST Future Values 4.02 0.123 2321 3.77 4.26
&nbsp;02FUT Future Values 3.83 0.123 2344 3.58 4.07
&nbsp;01PAST Past Life 5.73 0.123 2321 5.49 5.97
&nbsp;02FUT Past Life 5.19 0.123 2344 4.95 5.43
&nbsp;01PAST Future Life 5.20 0.123 2321 4.96 5.45
&nbsp;02FUT Future Life 4.90 0.123 2344 4.65 5.14
Warning: EMMs are biased unless design is perfectly balanced
Confidence level used: 0.95
\[1] "\\nSimple Effects of TIME within each TEMPORAL\_DO ù DOMAIN combination:"
TEMPORAL\_DO = 01PAST, DOMAIN = Preferences:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Past - Future 0.364 0.106 3524 3.428 0.0006
TEMPORAL\_DO = 02FUT, DOMAIN = Preferences:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Past - Future 0.258 0.107 3524 2.411 0.0160
TEMPORAL\_DO = 01PAST, DOMAIN = Personality:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Past - Future 0.476 0.106 3524 4.483 <.0001
TEMPORAL\_DO = 02FUT, DOMAIN = Personality:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Past - Future 0.410 0.107 3524 3.829 0.0001
TEMPORAL\_DO = 01PAST, DOMAIN = Values:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Past - Future 0.470 0.106 3524 4.430 <.0001
TEMPORAL\_DO = 02FUT, DOMAIN = Values:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Past - Future 0.510 0.107 3524 4.769 <.0001
TEMPORAL\_DO = 01PAST, DOMAIN = Life:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Past - Future 0.524 0.106 3524 4.940 <.0001
TEMPORAL\_DO = 02FUT, DOMAIN = Life:
&nbsp;contrast estimate SE df t.ratio p.value
&nbsp;Past - Future 0.294 0.107 3524 2.748 0.0060
\[1] "\\n=== COHEN'S D FOR SIGNIFICANT TWO-WAY INTERACTIONS ==="
\[1] "\\n=== COHEN'S D FOR T**EMPORAL\_DO ù TIME INTERACTION** ==="
Significant pairwise comparisons (p < 0.05):
**contrast TEMPORAL\_DO estimate SE df t.ratio p.value**
**Past - Future 01PAST 0.4584888 0.07085809 1061 6.471 <.0001**
**Past - Future 02FUT 0.3681214 0.07146058 1061 5.151 <.0001**
Results are averaged over the levels of: DOMAIN
Cohen's d calculated from raw data:
**Comparison: Past - Future | 01PAST**
&nbsp; n1 = 2144, n2 = 2144
**Cohen's d: 0.15841**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00000
**Comparison: Past - Future | 02FUT**
&nbsp; n1 = 2108, n2 = 2108
**Cohen's d: 0.12907**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00000
No significant pairwise comparisons found.
\[1] "\\n=== **COHEN'S D FOR TIME ù DOMAI**N INTERACTION ==="
Significant pairwise comparisons (p < 0.05):
**contrast DOMAIN estimate SE df t.ratio p.value**
**Past - Future Preferences 0.3109352 0.07536529 3523.81 4.126 <.0001**
**Past - Future Personality 0.4428067 0.07536529 3523.81 5.875 <.0001**
**Past - Future Values 0.4902928 0.07536529 3523.81 6.506 <.0001**
**Past - Future Life 0.4091857 0.07536529 3523.81 5.429 <.0001**
Results are averaged over the levels of: TEMPORAL\_DO
Cohen's d calculated from raw data:
**Comparison: Past - Future | Preferences**
&nbsp; n1 = 1063, n2 = 1063
**Cohen's d: 0.10962**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00004
**Comparison: Past - Future | Personality**
&nbsp; n1 = 1063, n2 = 1063
&nbsp; **Cohen's d: 0.15646**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00000
**Comparison: Past - Future | Values**
&nbsp; n1 = 1063, n2 = 1063
**Cohen's d: 0.17095**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00000
**Comparison: Past - Future | Life**
&nbsp; n1 = 1063, n2 = 1063
**Cohen's d: 0.14446**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00000
Significant pairwise comparisons (p < 0.05):
&nbsp;contrast TIME estimate SE df t.ratio p.value
&nbsp;Preferences - Personality Past -0.2187208 0.07204929 6140.98 -3.036 0.0145
&nbsp;Preferences - Life Past -1.0058218 0.07204929 6140.98 -13.960 <.0001
&nbsp;Personality - Values Past 0.2611126 0.07204929 6140.98 3.624 0.0018
&nbsp;Personality - Life Past -0.7871010 0.07204929 6140.98 -10.924 <.0001
&nbsp;Values - Life Past -1.0482136 0.07204929 6140.98 -14.549 <.0001
&nbsp;Preferences - Values Future 0.2217494 0.07204929 6140.98 3.078 0.0126
&nbsp;Preferences - Life Future -0.9075714 0.07204929 6140.98 -12.597 <.0001
&nbsp;Personality - Values Future 0.3085987 0.07204929 6140.98 4.283 0.0001
&nbsp;Personality - Life Future -0.8207221 0.07204929 6140.98 -11.391 <.0001
&nbsp;Values - Life Future -1.1293208 0.07204929 6140.98 -15.674 <.0001
Results are averaged over the levels of: TEMPORAL\_DO
P value adjustment: bonferroni method for 6 tests
Cohen's d calculated from raw data:
Comparison: Preferences - Personality | Past
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: -0.07681
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.01446
Comparison: Preferences - Life | Past
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: -0.35418
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Personality - Values | Past
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: 0.09073
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00175
Comparison: Personality - Life | Past
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: -0.27756
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Values - Life | Past
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: -0.36538
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Preferences - Values | Future
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: 0.07838
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.01257
Comparison: Preferences - Life | Future
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: -0.32051
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Personality - Values | Future
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: 0.10956
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00011
Comparison: Personality - Life | Future
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: -0.29009
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Values - Life | Future
&nbsp; n1 = 1063, n2 = 1063
&nbsp; Cohen's d: -0.39881
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
\[1] "\\n=== COHEN'S D FOR **TEMPORAL\_DO × DOMAIN** INTERACTION ==="
Significant pairwise comparisons (p < 0.05):
&nbsp;contrast DOMAIN estimate SE df t.ratio p.value
&nbsp;01PAST - 02FUT Life 0.4227906 0.1572823 1579.2 2.688 0.0073
Results are averaged over the levels of: TIME
Cohen's d calculated from raw data:
Comparison: 01PAST - 02FUT | Life
&nbsp; n1 = 1072, n2 = 1054
&nbsp; Cohen's d: 0.14893
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00726
Significant pairwise comparisons (p < 0.05):
&nbsp;contrast TEMPORAL\_DO estimate SE df t.ratio
&nbsp;Preferences - Personality 01PAST -0.2182836 0.07830983 3183 -2.787
&nbsp;Preferences - Life 01PAST -1.1268657 0.07830983 3183 -14.390
&nbsp;Personality - Values 01PAST 0.3069030 0.07830983 3183 3.919
&nbsp;Personality - Life 01PAST -0.9085821 0.07830983 3183 -11.602
&nbsp;Values - Life 01PAST -1.2154851 0.07830983 3183 -15.521
&nbsp;Preferences - Life 02FUT -0.7865275 0.07897567 3183 -9.959
&nbsp;Personality - Values 02FUT 0.2628083 0.07897567 3183 3.328
&nbsp;Personality - Life 02FUT -0.6992410 0.07897567 3183 -8.854
&nbsp;Values - Life 02FUT -0.9620493 0.07897567 3183 -12.182
&nbsp;p.value
&nbsp; 0.0321
&nbsp; <.0001
&nbsp; 0.0005
&nbsp; <.0001
&nbsp; <.0001
&nbsp; <.0001
&nbsp; 0.0053
&nbsp; <.0001
&nbsp; <.0001
Results are averaged over the levels of: TIME
P value adjustment: bonferroni method for 6 tests
Cohen's d calculated from raw data:
Comparison: Preferences - Personality | 01PAST
&nbsp; n1 = 1072, n2 = 1072
&nbsp; Cohen's d: -0.07591
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.03207
Comparison: Preferences - Life | 01PAST
&nbsp; n1 = 1072, n2 = 1072
&nbsp; Cohen's d: -0.39333
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Personality - Values | 01PAST
&nbsp; n1 = 1072, n2 = 1072
&nbsp; Cohen's d: 0.10722
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00054
Comparison: Personality - Life | 01PAST
&nbsp; n1 = 1072, n2 = 1072
&nbsp; Cohen's d: -0.31964
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Values - Life | 01PAST
&nbsp; n1 = 1072, n2 = 1072
&nbsp; Cohen's d: -0.42622
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Preferences - Life | 02FUT
&nbsp; n1 = 1054, n2 = 1054
&nbsp; Cohen's d: -0.27911
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Personality - Values | 02FUT
&nbsp; n1 = 1054, n2 = 1054
&nbsp; Cohen's d: 0.09213
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00531
Comparison: Personality - Life | 02FUT
&nbsp; n1 = 1054, n2 = 1054
&nbsp; Cohen's d: -0.24666
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
Comparison: Values - Life | 02FUT
&nbsp; n1 = 1054, n2 = 1054
&nbsp; Cohen's d: -0.33596
&nbsp; Effect size interpretation: small
&nbsp; p-value: 0.00000
\[1] "\\n=== **COHEN'S D FOR THREE-WAY INTERACTION** ==="
\[1] "The pairwise comparisons show the TIME effects within each TEMPORAL\_DO ù DOMAIN combination:"
**TEMPORAL\_DO = 01PAST, DOMAIN = Preferences:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.3638060 0.1061305 3523.81 3.428 0.0006**
**TEMPORAL\_DO = 02FUT, DOMAIN = Preferences:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.2580645 0.1070329 3523.81 2.411 0.0160**
**TEMPORAL\_DO = 01PAST, DOMAIN = Personality:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.4757463 0.1061305 3523.81 4.483 <.0001**
**TEMPORAL\_DO = 02FUT, DOMAIN = Personality:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.4098672 0.1070329 3523.81 3.829 0.0001**
**TEMPORAL\_DO = 01PAST, DOMAIN = Values:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.4701493 0.1061305 3523.81 4.430 <.0001**
**TEMPORAL\_DO = 02FUT, DOMAIN = Values:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.5104364 0.1070329 3523.81 4.769 <.0001**
**TEMPORAL\_DO = 01PAST, DOMAIN = Life:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.5242537 0.1061305 3523.81 4.940 <.0001**
**TEMPORAL\_DO = 02FUT, DOMAIN = Life:**
**contrast estimate SE df t.ratio p.value**
**Past - Future 0.2941176 0.1070329 3523.81 2.748 0.0060**
\[1] "\\nCohen's d calculations for significant TIME effects within each TEMPORAL\_DO ù DOMAIN combination:"
**TEMPORAL\_DO = 01PAST, DOMAIN = Preferences:**
&nbsp; Past vs Future comparison
&nbsp; n\_Past = 536, n\_Future = 536
**Cohen's d: 0.12574**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00062
&nbsp; Estimated difference: 0.36381
**TEMPORAL\_DO = 02FUT, DOMAIN = Preferences:**
&nbsp; Past vs Future comparison
&nbsp; n\_Past = 527, n\_Future = 527
**Cohen's d: 0.09256**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.01596
&nbsp; Estimated difference: 0.25806
**TEMPORAL\_DO = 01PAST, DOMAIN = Personality:**
&nbsp; Past vs Future comparison
&nbsp; n\_Past = 536, n\_Future = 536
**Cohen's d: 0.16725**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00001
&nbsp; Estimated difference: 0.47575
**TEMPORAL\_DO = 02FUT, DOMAIN = Personality:**
&nbsp; Past vs Future comparison
&nbsp; n\_Past = 527, n\_Future = 527
**Cohen's d: 0.14547**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00013
&nbsp; Estimated difference: 0.40987
**TEMPORAL\_DO = 01PAST, DOMAIN = Values:**
&nbsp; Past vs Future comparison
&nbsp; n\_Past = 536, n\_Future = 536
**Cohen's d: 0.16420**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00001
&nbsp; Estimated difference: 0.47015
**TEMPORAL\_DO = 02FUT, DOMAIN = Values:**
&nbsp; Past vs Future comparison
&nbsp; n\_Past = 527, n\_Future = 527
**Cohen's d: 0.17779**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00000
&nbsp; Estimated difference: 0.51044
**TEMPORAL\_DO = 01PAST, DOMAIN = Life:**
&nbsp; Past vs Future comparison
&nbsp; n\_Past = 536, n\_Future = 536
**Cohen's d: 0.18584**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00000
&nbsp; Estimated difference: 0.52425
**TEMPORAL\_DO = 02FUT, DOMAIN = Life:**
&nbsp; Past vs Future comparison
&nbsp; n\_Past = 527, n\_Future = 527
**Cohen's d: 0.10343**
&nbsp; Effect size interpretation: negligible
&nbsp; p-value: 0.00603
&nbsp; Estimated difference: 0.29412
\[1] "\\n=== ANALYSIS COMPLETE ==="
\[1] "All significant and marginal effects have been analyzed with Cohen's d calculations."