  TIME   DOMAIN          n  mean variance    sd median    q1    q3   min   max

  <fct>  <fct>       <int> <dbl>    <dbl> <dbl>  <dbl> <dbl> <dbl> <dbl> <dbl>

1 Past   Preferences  1063 0.783    0.518 0.720    0.6   0.2   1.2     0   5.8

2 Past   Personality  1063 0.962    0.566 0.752    0.8   0.4   1.4     0   5

3 Past   Values       1063 0.784    0.554 0.744    0.6   0.2   1       0   4.6

4 Past   Life         1063 1.22     1.08  1.04     1     0.4   1.8     0   6

5 Future Preferences  1063 0.644    0.348 0.590    0.6   0.2   1       0   5.8

6 Future Personality  1063 0.866    0.424 0.651    0.8   0.4   1.2     0   4.2

7 Future Values       1063 0.587    0.281 0.530    0.4   0.2   0.8     0   4.4

8 Future Life         1063 1.11     0.930 0.964    0.8   0.4   1.4     0   6





\[1] **"Descriptive statistics by TEMPORAL\_DO, TIME, and DOMAIN:"**

\# A tibble: 16 ├ù 7

   TEMPORAL\_DO TIME   DOMAIN          n  mean variance    sd

   <fct>       <fct>  <fct>       <int> <dbl>    <dbl> <dbl>

 1 01PAST      Past   Preferences   536 0.759    0.515 0.718

 2 01PAST      Past   Personality   536 0.948    0.571 0.756

 3 01PAST      Past   Values        536 0.748    0.565 0.752

 4 01PAST      Past   Life          536 1.23     1.08  1.04

 5 01PAST      Future Preferences   536 0.640    0.326 0.571

 6 01PAST      Future Personality   536 0.909    0.433 0.658

 7 01PAST      Future Values        536 0.614    0.287 0.535

 8 01PAST      Future Life          536 1.18     1.05  1.02

 9 02FUT       Past   Preferences   527 0.808    0.521 0.722

10 02FUT       Past   Personality   527 0.977    0.562 0.750

11 02FUT       Past   Values        527 0.820    0.540 0.735

12 02FUT       Past   Life          527 1.21     1.08  1.04

13 02FUT       Future Preferences   527 0.648    0.371 0.609

14 02FUT       Future Personality   527 0.822    0.411 0.641

15 02FUT       Future Values        527 0.559    0.274 0.524

16 02FUT       Future Life          527 1.03     0.801 0.895

\[1] "Data after removing missing values: 8504 x6"

\[1] "Missing values by TIME and DOMAIN:"

\# A tibble: 8 ├ù 5

  TIME   DOMAIN      n\_total n\_missing pct\_missing

  <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 ├ù 11

  TIME   DOMAIN          n  mean    sd    q1    q3   iqr lower\_bound upper\_bound

  <fct>  <fct>       <int> <dbl> <dbl> <dbl> <dbl> <dbl>       <dbl>       <dbl>

1 Past   Preferences  1063 0.783 0.720   0.2   1.2   1          -1.3         2.7

2 Past   Personality  1063 0.962 0.752   0.4   1.4   1          -1.1         2.9

3 Past   Values       1063 0.784 0.744   0.2   1     0.8        -1           2.2

4 Past   Life         1063 1.22  1.04    0.4   1.8   1.4        -1.7         3.9

5 Future Preferences  1063 0.644 0.590   0.2   1     0.8        -1           2.2

6 Future Personality  1063 0.866 0.651   0.4   1.2   0.8        -0.8         2.4

7 Future Values       1063 0.587 0.530   0.2   0.8   0.6        -0.7         1.7

8 Future Life         1063 1.11  0.964   0.4   1.4   1          -1.1         2.9

\# Γä╣ 1 more variable: n\_outliers <int>

\[1] "Anderson-Darling normality test results:"

\# A tibble: 8 ├ù 5

  TIME   DOMAIN          n ad\_statistic ad\_p\_value

  <fct>  <fct>       <dbl>        <dbl>      <dbl>

1 Past   Preferences  1063         32.9          0

2 Past   Personality  1063         27.2          0

3 Past   Values       1063         39.9          0

4 Past   Life         1063         32.4          0

5 Future Preferences  1063         30.5          0

6 Future Personality  1063         20.6          0

7 Future Values       1063         33.9          0

8 Future Life         1063         36.9          0

\[1] "Homogeneity of variance across TIME within each DOMAIN:"

\# A tibble: 4 ├ù 3

  DOMAIN      levene\_F levene\_p

  <fct>          <dbl>    <dbl>

1 Preferences    23.3  1.48e- 6

2 Personality     9.57 2.01e- 3

3 Values         42.3  9.50e-11

4 Life            6.78 9.27e- 3

\[1] "Homogeneity of variance across DOMAIN within each TIME:"

\# A tibble: 2 ├ù 3

  TIME   levene\_F levene\_p

  <fct>     <dbl>    <dbl>

1 Past       41.9 1.13e-26

2 Future     68.4 3.41e-43

\[1] "=== CHECKING TEMPORAL\_DO VALUES ==="

\[1] "Unique TEMPORAL\_DO values:"

\[1] 01PAST 02FUT

Levels: 01PAST 02FUT

\[1] "TEMPORAL\_DO value counts:"



01PAST  02FUT

  4288   4216

\[1] "\\n=== OBSERVED F-MAX RATIOS: TEMPORAL\_DO within each TIME ├ù DOMAIN combination ==="

\# A tibble: 8 ├ù 5

  TIME   DOMAIN      past\_var fut\_var f\_max\_ratio

  <fct>  <fct>          <dbl>   <dbl>       <dbl>

1 Past   Preferences    0.515   0.521        1.01

2 Past   Personality    0.571   0.562        1.02

3 Past   Values         0.565   0.540        1.05

4 Past   Life           1.08    1.08         1.00

5 Future Preferences    0.326   0.371        1.14

6 Future Personality    0.433   0.411        1.06

7 Future Values         0.287   0.274        1.05

8 Future Life           1.05    0.801        1.31

\[1] "\\n=== HARTLEY'S F-MAX TEST RESULTS ==="

\# A tibble: 8 ├ù 5

  TIME   DOMAIN      observed\_ratio critical\_95 significant

  <fct>  <fct>                <dbl>       <dbl> <lgl>

1 Past   Preferences           1.01        1.35 FALSE

2 Past   Personality           1.02        1.32 FALSE

3 Past   Values                1.05        1.38 FALSE

4 Past   Life                  1.00        1.28 FALSE

5 Future Preferences           1.14        1.57 FALSE

6 Future Personality           1.06        1.32 FALSE

7 Future Values                1.05        1.34 FALSE

8 Future Life                  1.31        1.63 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 ├ù 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:"

                   Effect DFn  DFd          SSn       SSd            F

1             (Intercept)   1 1061 6421.3415321 1944.0057 3504.6417249

2             TEMPORAL\_DO   1 1061    0.7456337 1944.0057    0.4069522

**3                    TIME   1 1061   39.6689739  534.1210   78.8000944**

**4                  DOMAIN   3 3183  311.5536201 1597.6667  206.9007190**

**5        TEMPORAL\_DO:TIME   1 1061    5.5224829  534.1210   10.9700889**

6      TEMPORAL\_DO:DOMAIN   3 3183    3.7663764 1597.6667    2.5012259

**7             TIME:DOMAIN   3 3183    3.1154311  904.9444    3.6526803**

8 TEMPORAL\_DO:TIME:DOMAIN   3 3183    0.6564659  904.9444    0.7696720

                                                                                                                                   p

1 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

2 0.52365818585252021932774368906393647193908691406250000000000000000000000000000000000000000000000000000000000000000000000000000000

**3 0.00000000000000000287200875432473479121828208171507412771461531519889831542968750000000000000000000000000000000000000000000000000**

**4 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001337697**

**5 0.00095717428775204211818805610789695492712780833244323730468750000000000000000000000000000000000000000000000000000000000000000000**

6 0.05766070356738214885972126921842573210597038269042968750000000000000000000000000000000000000000000000000000000000000000000000000

**7 0.01204956368720257880999824351420102175325155258178710937500000000000000000000000000000000000000000000000000000000000000000000000**

8 0.51088655666805471433633556443965062499046325683593750000000000000000000000000000000000000000000000000000000000000000000000000000

  p<.05          ges

1     \* 0.5631728577

2       0.0001496810

**3     \* 0.0079015460**

**4     \* 0.0588693257**

**5     \* 0.0011075401**

6       0.0007556171

**7     \* 0.0006251049**

8       0.0001317836

\[1] "\\nMauchly's Test of Sphericity:"

                   Effect         W

5                  DOMAIN 0.7291990

6      TEMPORAL\_DO:DOMAIN 0.7291990

7             TIME:DOMAIN 0.6398967

8 TEMPORAL\_DO:TIME:DOMAIN 0.6398967

                                                                                                             p

5 0.0000000000000000000000000000000000000000000000000000000000000000000003497441103331600766295633730962322261

6 0.0000000000000000000000000000000000000000000000000000000000000000000003497441103331600766295633730962322261

7 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005087186

8 0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005087186

  p<.05

5     \*

6     \*

7     \*

8     \*

\[1] "\\nGreenhouse-Geisser and Huynh-Feldt Corrections:"

                   Effect       GGe

**5                  DOMAIN 0.8167568**

6      TEMPORAL\_DO:DOMAIN 0.8167568

**7             TIME:DOMAIN 0.7529784**

8 TEMPORAL\_DO:TIME:DOMAIN 0.7529784

                                                                                                          p\[GG]

5 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009854502

6 0.07011166013757348658419488174331490881741046905517578125000000000000000000000000000000000000000000000000000

7 0.02133521013451386214021532339302211767062544822692871093750000000000000000000000000000000000000000000000000

8 0.47760654722485240686324914349825121462345123291015625000000000000000000000000000000000000000000000000000000

**p\[GG]<.05       HFe**

**5         \* 0.8187892**

6           0.8187892

**7         \* 0.7546665**

8           0.7546665

                                                                                                          p\[HF]

5 0.00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000005637194

6 0.06995986011187707576119976238260278478264808654785156250000000000000000000000000000000000000000000000000000

7 0.02125162288085758605094000017743383068591356277465820312500000000000000000000000000000000000000000000000000

8 0.47786945437333261388346272724447771906852722167968750000000000000000000000000000000000000000000000000000000

**p\[HF]<.05**

**5         \***

6

**7         \***

8



=== CORRECTED DEGREES OF FREEDOM ===

&nbsp;                  \*\*Effect Original\\\_DFn Original\\\_DFd   GG\\\_DFn   GG\\\_DFd   HF\\\_DFn\*\*


**1                  DOMAIN            3         3183 2.450271 2599.737 2.456368**

2      TEMPORAL\_DO:DOMAIN            3         3183 2.450271 2599.737 2.456368

**3             TIME:DOMAIN            3         3183 2.258935 2396.730 2.263999**

4 TEMPORAL\_DO:TIME:DOMAIN            3         3183 2.258935 2396.730 2.263999

&nbsp;   \*\*HF\\\_DFd GG\\\_epsilon HF\\\_epsilon\*\*


**1 2606.206  0.8167568  0.8187892**

2 2606.206  0.8167568  0.8187892

**3 2402.103  0.7529784  0.7546665**

4 2402.103  0.7529784  0.7546665



**=== CORRECTED F-TESTS ===**



**DOMAIN:**

**Original: F(3, 3183) = 206.901**

**GG-corrected: F(2.45, 2599.74) = 206.901, p = 0.000000**

**HF-corrected: F(2.46, 2606.21) = 206.901, p = 0.000000**



**TEMPORAL\_DO:DOMAIN:**

**Original: F(3, 3183) = 2.501**

**GG-corrected: F(2.45, 2599.74) = 2.501, p = 0.070112**

**HF-corrected: F(2.46, 2606.21) = 2.501, p = 0.069960**



**TIME:DOMAIN:**

**Original: F(3, 3183) = 3.653**

**GG-corrected: F(2.26, 2396.73) = 3.653, p = 0.021335**

**HF-corrected: F(2.26, 2402.10) = 3.653, p = 0.021252**



TEMPORAL\_DO:TIME:DOMAIN:

  Original: F(3, 3183) = 0.770

  GG-corrected: F(2.26, 2396.73) = 0.770, p = 0.477607

  HF-corrected: F(2.26, 2402.10) = 0.770, p = 0.477869

\[1] "\\n=== EFFECT SIZES (GENERALIZED ETA SQUARED) ==="

\[1] "Generalized Eta Squared:"

                   Effect     ges

1             (Intercept) 0.56317

2             TEMPORAL\_DO 0.00015

3                    TIME 0.00790

5                  DOMAIN 0.05887

4        TEMPORAL\_DO:TIME 0.00111

6      TEMPORAL\_DO:DOMAIN 0.00076

7             TIME:DOMAIN 0.00063

8 TEMPORAL\_DO:TIME:DOMAIN 0.00013

\[1] "\\n=== POST-HOC COMPARISONS ==="

**\[1] "Main Effect of TIME:"**

NOTE: Results may be misleading due to involvement in interactions

\[1] "Estimated Marginal Means:"

 TIME   emmean     SE   df lower.CL upper.CL

 Past    0.937 0.0166 1603    0.905    0.970

 Future  0.801 0.0166 1603    0.768    0.833



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    0.137 0.0154 1061   8.877  <.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:"

 DOMAIN      emmean     SE   df lower.CL upper.CL

 Preferences  0.714 0.0198 2875    0.675    0.752

 Personality  0.914 0.0198 2875    0.875    0.953

 Values       0.685 0.0198 2875    0.646    0.724

 Life         1.163 0.0198 2875    1.124    1.202



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:"

 contrast                  estimate     SE   df t.ratio p.value

 Preferences - Personality  -0.2004 0.0217 3183  -9.223  <.0001

 Preferences - Values        0.0284 0.0217 3183   1.307  1.0000

 Preferences - Life         -0.4497 0.0217 3183 -20.693  <.0001

 Personality - Values        0.2288 0.0217 3183  10.530  <.0001

 Personality - Life         -0.2493 0.0217 3183 -11.470  <.0001

 Values - Life              -0.4781 0.0217 3183 -22.000  <.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

 contrast       estimate     SE   df t.ratio p.value

 01PAST - 02FUT   0.0187 0.0294 1061   0.638  0.5237



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:"

 TEMPORAL\_DO TIME   emmean     SE   df lower.CL upper.CL

 01PAST      Past    0.921 0.0234 1599    0.875    0.967

 02FUT       Past    0.953 0.0235 1607    0.907    1.000

 01PAST      Future  0.836 0.0234 1599    0.790    0.882

 02FUT       Future  0.766 0.0235 1607    0.720    0.812



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   0.0856 0.0217 1061   3.952  0.0001**



**TEMPORAL\_DO = 02FUT:**

**contrast      estimate     SE   df t.ratio p.value**

**Past - Future   0.1876 0.0219 1061   8.583  <.0001**



Results are averaged over the levels of: DOMAIN

\[1] "\\nSimple Effects of TEMPORAL\_DO within each TIME:"

TIME = Past:

 contrast       estimate     SE   df t.ratio p.value

 01PAST - 02FUT  -0.0322 0.0331 1603  -0.973  0.3309



TIME = Future:

 contrast       estimate     SE   df t.ratio p.value

 01PAST - 02FUT   0.0697 0.0331 1603   2.103  0.0356



Results are averaged over the levels of: DOMAIN

\[1] "\\n=== TIME ├ù DOMAIN INTERACTION ==="

NOTE: Results may be misleading due to involvement in interactions

\[1] "Estimated Marginal Means:"

 TIME   DOMAIN      emmean     SE   df lower.CL upper.CL

 Past   Preferences  0.783 0.0235 5073    0.737    0.829

 Future Preferences  0.644 0.0235 5073    0.598    0.690

 Past   Personality  0.962 0.0235 5073    0.916    1.008

 Future Personality  0.866 0.0235 5073    0.820    0.912

 Past   Values       0.784 0.0235 5073    0.738    0.830

 Future Values       0.586 0.0235 5073    0.540    0.633

 Past   Life         1.220 0.0235 5073    1.174    1.266

 Future Life         1.107 0.0235 5073    1.061    1.153



Results are averaged over the levels of: TEMPORAL\_DO

Warning: EMMs are biased unless design is perfectly balanced

Confidence level used: 0.95

\[1] "\\n**Simple Effects of DOMAIN within each TIME**:"

TIME = Past:

 contrast                   estimate     SE   df t.ratio p.value

 Preferences - Personality -0.179220 0.0272 5913  -6.590  <.0001

 Preferences - Values      -0.000848 0.0272 5913  -0.031  1.0000

 Preferences - Life        -0.436770 0.0272 5913 -16.059  <.0001

 Personality - Values       0.178371 0.0272 5913   6.558  <.0001

 Personality - Life        -0.257550 0.0272 5913  -9.470  <.0001

 Values - Life             -0.435921 0.0272 5913 -16.028  <.0001



TIME = Future:

 contrast                   estimate     SE   df t.ratio p.value

 Preferences - Personality -0.221615 0.0272 5913  -8.148  <.0001

 Preferences - Values       0.057652 0.0272 5913   2.120  0.2044

 Preferences - Life        -0.462575 0.0272 5913 -17.008  <.0001

 Personality - Values       0.279267 0.0272 5913  10.268  <.0001

 Personality - Life        -0.240960 0.0272 5913  -8.860  <.0001

 Values - Life             -0.520227 0.0272 5913 -19.128  <.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   0.1390 0.0253 3936   5.504  <.0001**



**DOMAIN = Personality:**

**contrast      estimate     SE   df t.ratio p.value**

**Past - Future   0.0966 0.0253 3936   3.826  0.0001**



**DOMAIN = Values:**

**contrast      estimate     SE   df t.ratio p.value**

**Past - Future   0.1975 0.0253 3936   7.820  <.0001**



**DOMAIN = Life:**

**contrast      estimate     SE   df t.ratio p.value**

**Past - Future   0.1132 0.0253 3936   4.482  <.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:"

 TEMPORAL\_DO DOMAIN      emmean     SE   df lower.CL upper.CL

 01PAST      Preferences  0.700 0.0280 2861    0.645    0.754

 02FUT       Preferences  0.728 0.0281 2887    0.673    0.783

 01PAST      Personality  0.928 0.0280 2861    0.874    0.983

 02FUT       Personality  0.900 0.0281 2887    0.845    0.955

 01PAST      Values       0.681 0.0280 2861    0.626    0.736

 02FUT       Values       0.689 0.0281 2887    0.634    0.744

 01PAST      Life         1.205 0.0280 2861    1.150    1.259

 02FUT       Life         1.122 0.0281 2887    1.067    1.177



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:

 contrast                  estimate     SE   df t.ratio p.value

 Preferences - Personality  -0.2289 0.0306 3183  -7.481  <.0001

 Preferences - Values        0.0183 0.0306 3183   0.597  1.0000

 Preferences - Life         -0.5050 0.0306 3183 -16.504  <.0001

 Personality - Values        0.2472 0.0306 3183   8.078  <.0001

 Personality - Life         -0.2761 0.0306 3183  -9.023  <.0001

 Values - Life              -0.5233 0.0306 3183 -17.101  <.0001



TEMPORAL\_DO = 02FUT:

 contrast                  estimate     SE   df t.ratio p.value

 Preferences - Personality  -0.1719 0.0309 3183  -5.571  <.0001

 Preferences - Values        0.0385 0.0309 3183   1.248  1.0000

 Preferences - Life         -0.3943 0.0309 3183 -12.777  <.0001

 Personality - Values        0.2104 0.0309 3183   6.819  <.0001

 Personality - Life         -0.2224 0.0309 3183  -7.206  <.0001

 Values - Life              -0.4328 0.0309 3183 -14.025  <.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:

 contrast       estimate     SE   df t.ratio p.value

 01PAST - 02FUT -0.02826 0.0396 2874  -0.713  0.4757



DOMAIN = Personality:

 contrast       estimate     SE   df t.ratio p.value

 01PAST - 02FUT  0.02874 0.0396 2874   0.725  0.4684



DOMAIN = Values:

 contrast       estimate     SE   df t.ratio p.value

 01PAST - 02FUT -0.00803 0.0396 2874  -0.203  0.8395



**DOMAIN = Life:**

**contrast       estimate     SE   df t.ratio p.value**

**01PAST - 02FUT  0.08247 0.0396 2874   2.081  0.0375**



Results are averaged over the levels of: TIME

\[1] "\\n=== THREE-WAY INTERACTION ANALYSIS ==="

\[1] "Note: Three-way interaction was non-significant (p = 0.511)"

\[1] "\\n=== COHEN'S D FOR SIGNIFICANT TWO-WAY INTERACTIONS ==="

\[1] "\\n==**= COHEN'S D FOR TEMPORAL\_DO ├ù TIME INTERACTION** ==="

Significant pairwise comparisons (p < 0.05):

**contrast      TEMPORAL\_DO   estimate         SE   df t.ratio p.value**

**Past - Future 01PAST      0.08563433 0.02167029 1061   3.952  0.0001**

**Past - Future 02FUT       0.18757116 0.02185455 1061   8.583  <.0001**



Results are averaged over the levels of: DOMAIN



**Cohen's d calculated from raw data:**

**Comparison: Past - Future | 01PAST**

**n1 = 2144, n2 = 2144**

**Cohen's d: 0.10639**

**Effect size interpretation: negligible**

**p-value: 0.00008**



**Comparison: Past - Future | 02FUT**

**n1 = 2108, n2 = 2108**

**Cohen's d: 0.24237**

**Effect size interpretation: small**

**p-value: 0.00000**



Significant pairwise comparisons (p < 0.05):

 contrast       TIME     estimate         SE     df t.ratio p.value

 01PAST - 02FUT Future 0.06969664 0.03314652 1603.1   2.103  0.0356



Results are averaged over the levels of: DOMAIN



Cohen's d calculated from raw data:

Comparison: 01PAST - 02FUT | Future

  n1 = 2144, n2 = 2108

  Cohen's d: 0.09518

  Effect size interpretation: negligible

  p-value: 0.03565



\[1] "\\n=== **COHEN'S D FOR TIME ├ù DOMAIN INTERACTION** ==="

Significant pairwise comparisons (p < 0.05):

**contrast      DOMAIN        estimate         SE      df t.ratio p.value**

**Past - Future Preferences 0.13902794 0.02525902 3935.86   5.504  <.0001**

**Past - Future Personality 0.09663259 0.02525902 3935.86   3.826  0.0001**

**Past - Future Values      0.19752790 0.02525902 3935.86   7.820  <.0001**

**Past - Future Life        0.11322255 0.02525902 3935.86   4.482  <.0001**



Results are averaged over the levels of: TEMPORAL\_DO



**Cohen's d calculated from raw data:**

**Comparison: Past - Future | Preferences**

**n1 = 1063, n2 = 1063**

**Cohen's d: 0.21102**

**Effect size interpretation: small**

**p-value: 0.00000**



**Comparison: Past - Future | Personality**

**n1 = 1063, n2 = 1063**

**Cohen's d: 0.13666**

**Effect size interpretation: negligible**

**p-value: 0.00013**



**Comparison: Past - Future | Values**

**n1 = 1063, n2 = 1063**

**Cohen's d: 0.30496**

**Effect size interpretation: small**

**p-value: 0.00000**



**Comparison: Past - Future | Life**

**n1 = 1063, n2 = 1063**

**Cohen's d: 0.11243**

**Effect size interpretation: negligible**

**p-value: 0.00001**



Significant pairwise comparisons (p < 0.05):

 contrast                  TIME     estimate         SE      df t.ratio p.value

 Preferences - Personality Past   -0.1792195 0.02719739 5912.96  -6.590  <.0001

 Preferences - Life        Past   -0.4367697 0.02719739 5912.96 -16.059  <.0001

 Personality - Values      Past    0.1783713 0.02719739 5912.96   6.558  <.0001

 Personality - Life        Past   -0.2575501 0.02719739 5912.96  -9.470  <.0001

 Values - Life             Past   -0.4359214 0.02719739 5912.96 -16.028  <.0001

 Preferences - Personality Future -0.2216149 0.02719739 5912.96  -8.148  <.0001

 Preferences - Life        Future -0.4625751 0.02719739 5912.96 -17.008  <.0001

 Personality - Values      Future  0.2792666 0.02719739 5912.96  10.268  <.0001

 Personality - Life        Future -0.2409602 0.02719739 5912.96  -8.860  <.0001

 Values - Life             Future -0.5202268 0.02719739 5912.96 -19.128  <.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

  n1 = 1063, n2 = 1063

  Cohen's d: -0.24351

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Preferences - Life | Past

  n1 = 1063, n2 = 1063

  Cohen's d: -0.48894

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Personality - Values | Past

  n1 = 1063, n2 = 1063

  Cohen's d: 0.23863

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Personality - Life | Past

  n1 = 1063, n2 = 1063

  Cohen's d: -0.28411

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Values - Life | Past

  n1 = 1063, n2 = 1063

  Cohen's d: -0.48278

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Preferences - Personality | Future

  n1 = 1063, n2 = 1063

  Cohen's d: -0.35747

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Preferences - Life | Future

  n1 = 1063, n2 = 1063

  Cohen's d: -0.57958

  Effect size interpretation: medium

  p-value: 0.00000



Comparison: Personality - Values | Future

  n1 = 1063, n2 = 1063

  Cohen's d: 0.47072

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Personality - Life | Future

  n1 = 1063, n2 = 1063

  Cohen's d: -0.29322

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Values - Life | Future

  n1 = 1063, n2 = 1063

  Cohen's d: -0.66911

  Effect size interpretation: medium

  p-value: 0.00000



\[1] "\\n=== COHEN'S D FOR TEMPORAL\_DO ├ù DOMAIN INTERACTION ==="

Significant pairwise comparisons (p < 0.05):

 contrast       DOMAIN   estimate         SE      df t.ratio p.value

 01PAST - 02FUT Life   0.08246623 0.03962602 2874.42   2.081  0.0375



Results are averaged over the levels of: TIME



Cohen's d calculated from raw data:

Comparison: 01PAST - 02FUT | Life

  n1 = 1072, n2 = 1054

  Cohen's d: 0.08221

  Effect size interpretation: negligible

  p-value: 0.03751



Significant pairwise comparisons (p < 0.05):

 contrast                  TEMPORAL\_DO   estimate         SE   df t.ratio

 Preferences - Personality 01PAST      -0.2289179 0.03060148 3183  -7.481

 Preferences - Life        01PAST      -0.5050373 0.03060148 3183 -16.504

 Personality - Values      01PAST       0.2472015 0.03060148 3183   8.078

 Personality - Life        01PAST      -0.2761194 0.03060148 3183  -9.023

 Values - Life             01PAST      -0.5233209 0.03060148 3183 -17.101

 Preferences - Personality 02FUT       -0.1719165 0.03086167 3183  -5.571

 Preferences - Life        02FUT       -0.3943074 0.03086167 3183 -12.777

 Personality - Values      02FUT        0.2104364 0.03086167 3183   6.819

 Personality - Life        02FUT       -0.2223909 0.03086167 3183  -7.206

 Values - Life             02FUT       -0.4328273 0.03086167 3183 -14.025

 p.value

  <.0001

  <.0001

  <.0001

  <.0001

  <.0001

  <.0001

  <.0001

  <.0001

  <.0001

  <.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

  n1 = 1072, n2 = 1072

  Cohen's d: -0.33645

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Preferences - Life | 01PAST

  n1 = 1072, n2 = 1072

  Cohen's d: -0.58553

  Effect size interpretation: medium

  p-value: 0.00000



Comparison: Personality - Values | 01PAST

  n1 = 1072, n2 = 1072

  Cohen's d: 0.36212

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Personality - Life | 01PAST

  n1 = 1072, n2 = 1072

  Cohen's d: -0.31200

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Values - Life | 01PAST

  n1 = 1072, n2 = 1072

  Cohen's d: -0.60548

  Effect size interpretation: medium

  p-value: 0.00000



Comparison: Preferences - Personality | 02FUT

  n1 = 1054, n2 = 1054

  Cohen's d: -0.25029

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Preferences - Life | 02FUT

  n1 = 1054, n2 = 1054

  Cohen's d: -0.47142

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Personality - Values | 02FUT

  n1 = 1054, n2 = 1054

  Cohen's d: 0.31099

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Personality - Life | 02FUT

  n1 = 1054, n2 = 1054

  Cohen's d: -0.26217

  Effect size interpretation: small

  p-value: 0.00000



Comparison: Values - Life | 02FUT

  n1 = 1054, n2 = 1054

  Cohen's d: -0.52269

  Effect size interpretation: medium

  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 × DOMAIN combination:"

**TEMPORAL\_DO = 01PAST, DOMAIN = Preferences:**

**contrast        estimate         SE      df t.ratio p.value**

**Past - Future 0.11828358 0.03557011 3935.86   3.325  0.0009**



**TEMPORAL\_DO = 02FUT, DOMAIN = Preferences:**

**contrast        estimate         SE      df t.ratio p.value**

**Past - Future 0.15977230 0.03587255 3935.86   4.454  <.0001**



TEMPORAL\_DO = 01PAST, DOMAIN = Personality:

 contrast        estimate         SE      df t.ratio p.value

 Past - Future 0.03880597 0.03557011 3935.86   1.091  0.2754



**TEMPORAL\_DO = 02FUT, DOMAIN = Personality:**

**contrast        estimate         SE      df t.ratio p.value**

**Past - Future 0.15445920 0.03587255 3935.86   4.306  <.0001**



**TEMPORAL\_DO = 01PAST, DOMAIN = Values:**

**contrast        estimate         SE      df t.ratio p.value**

**Past - Future 0.13395522 0.03557011 3935.86   3.766  0.0002**



**TEMPORAL\_DO = 02FUT, DOMAIN = Values:**

**contrast        estimate         SE      df t.ratio p.value**

**Past - Future 0.26110057 0.03587255 3935.86   7.279  <.0001**



TEMPORAL\_DO = 01PAST, DOMAIN = Life:

 contrast        estimate         SE      df t.ratio p.value

 Past - Future 0.05149254 0.03557011 3935.86   1.448  0.1478



**TEMPORAL\_DO = 02FUT, DOMAIN = Life:**

**contrast        estimate         SE      df t.ratio p.value**

**Past - Future 0.17495256 0.03587255 3935.86   4.877  <.0001**



\[1] "\\nCohen's d calculations for significant TIME effects within each TEMPORAL\_DO × DOMAIN combination:"



**TEMPORAL\_DO = 01PAST, DOMAIN = Preferences:**



  Past vs Future comparison



  n\_Past = 536, n\_Future = 536



**Cohen's d: 0.18239**



  Effect size interpretation: negligible



  p-value: 0.00089



  Estimated difference: 0.11828



**TEMPORAL\_DO = 02FUT, DOMAIN = Preferences:**



  Past vs Future comparison



  n\_Past = 527, n\_Future = 527



**Cohen's d: 0.23929**



  Effect size interpretation: small



  p-value: 0.00001



  Estimated difference: 0.15977



**TEMPORAL\_DO = 02FUT, DOMAIN = Personality:**



  Past vs Future comparison



  n\_Past = 527, n\_Future = 527



**Cohen's d: 0.22151**



  Effect size interpretation: small



  p-value: 0.00002



  Estimated difference: 0.15446



**TEMPORAL\_DO = 01PAST, DOMAIN = Values:**



  Past vs Future comparison



  n\_Past = 536, n\_Future = 536



**Cohen's d: 0.20530**



  Effect size interpretation: small



  p-value: 0.00017



  Estimated difference: 0.13396



**TEMPORAL\_DO = 02FUT, DOMAIN = Values:**



  Past vs Future comparison



  n\_Past = 527, n\_Future = 527



**Cohen's d: 0.40909**



  Effect size interpretation: small



  p-value: 0.00000



  Estimated difference: 0.26110



**TEMPORAL\_DO = 02FUT, DOMAIN = Life:**



  Past vs Future comparison



  n\_Past = 527, n\_Future = 527



**Cohen's d: 0.18039**



  Effect size interpretation: negligible



  p-value: 0.00000



  Estimated difference: 0.17495

