Mixed Model

Model Info
Info 
EstimateLinear mixed model fit by REML
CallLikelihood estimate ~ 1 + Warmth + Competence + Valence + Cognitive empathy + Emotional empathy + Warmth:Competence + Warmth:Valence + Competence:Valence + Warmth:Cognitive empathy + Competence:Cognitive empathy + Valence:Cognitive empathy + Warmth:Emotional empathy + Competence:Emotional empathy + Valence:Emotional empathy + Warmth:Competence:Valence + Warmth:Competence:Cognitive empathy + Warmth:Valence:Cognitive empathy + Competence:Valence:Cognitive empathy + Warmth:Competence:Emotional empathy + Warmth:Valence:Emotional empathy + Competence:Valence:Emotional empathy + Warmth:Competence:Valence:Cognitive empathy + Warmth:Competence:Valence:Emotional empathy+( 1 | Subject_ID )+( 1 | Trial_ID )
AIC105202.335
BIC105452.552
LogLikel.105200.354
R-squared Marginal0.134
R-squared Conditional0.303
Convergedyes
Optimizerbobyqa
[3]

 

Model Results

Fixed Effect Omnibus tests
 FNum dfDen dfp
Warmth307.878111287.3< .001
Competence196.894111260.1< .001
Valence0.524130.00.475
Cognitive empathy11.376111255.2< .001
Emotional empathy26.212110993.2< .001
Warmth ✻ Competence73.106111254.3< .001
Warmth ✻ Valence414.939111262.0< .001
Competence ✻ Valence194.428111253.1< .001
Warmth ✻ Cognitive empathy32.569111279.1< .001
Competence ✻ Cognitive empathy9.685111273.10.002
Valence ✻ Cognitive empathy73.661111295.0< .001
Warmth ✻ Emotional empathy1.060111309.10.303
Competence ✻ Emotional empathy4.949111281.50.026
Valence ✻ Emotional empathy3.242111313.90.072
Warmth ✻ Competence ✻ Valence213.191111255.8< .001
Warmth ✻ Competence ✻ Cognitive empathy52.372111277.1< .001
Warmth ✻ Valence ✻ Cognitive empathy5.706111271.30.017
Competence ✻ Valence ✻ Cognitive empathy15.680111263.2< .001
Warmth ✻ Competence ✻ Emotional empathy20.368111272.6< .001
Warmth ✻ Valence ✻ Emotional empathy28.668111265.2< .001
Competence ✻ Valence ✻ Emotional empathy2.038111263.30.153
Warmth ✻ Competence ✻ Valence ✻ Cognitive empathy0.818111273.80.366
Warmth ✻ Competence ✻ Valence ✻ Emotional empathy3.894111263.80.048
Note. Satterthwaite method for degrees of freedom

 

Fixed Effects Parameter Estimates
95% Confidence Interval
NamesEffectEstimateSELowerUpperdftp
(Intercept)(Intercept)54.84481.815151.2873158.402345.330.216< .001
Warmth1Warm - Cold8.30880.47357.380719.236911287.317.546< .001
Competence1Incompetent - Competent-6.59680.4701-7.51828-5.675411260.1-14.032< .001
Valence1Positive - Negative2.35833.2567-4.024658.741330.00.7240.475
Cognitive empathyCognitive empathy0.07030.02080.029450.111111255.23.373< .001
Emotional empathyEmotional empathy0.11270.02200.069570.155910993.25.120< .001
Warmth1 ✻ Competence1Warm - Cold ✻ Incompetent - Competent-8.03030.9392-9.87114-6.189611254.3-8.550< .001
Warmth1 ✻ Valence1Warm - Cold ✻ Positive - Negative19.18790.942017.3416421.034111262.020.370< .001
Competence1 ✻ Valence1Incompetent - Competent ✻ Positive - Negative-13.09190.9389-14.93210-11.251611253.1-13.944< .001
Warmth1 ✻ Cognitive empathyWarm - Cold ✻ Cognitive empathy-0.20220.0354-0.27159-0.132711279.1-5.707< .001
Competence1 ✻ Cognitive empathyIncompetent - Competent ✻ Cognitive empathy0.11020.03540.040790.179611273.13.1120.002
Valence1 ✻ Cognitive empathyPositive - Negative ✻ Cognitive empathy0.33150.03860.255800.407211295.08.583< .001
Warmth1 ✻ Emotional empathyWarm - Cold ✻ Emotional empathy0.03960.0384-0.035760.114911309.11.0290.303
Competence1 ✻ Emotional empathyIncompetent - Competent ✻ Emotional empathy-0.08460.0380-0.15909-0.010111281.5-2.2250.026
Valence1 ✻ Emotional empathyPositive - Negative ✻ Emotional empathy0.07050.0392-0.006250.147311313.91.8000.072
Warmth1 ✻ Competence1 ✻ Valence1Warm - Cold ✻ Incompetent - Competent ✻ Positive - Negative27.43201.878823.7496931.114311255.814.601< .001
Warmth1 ✻ Competence1 ✻ Cognitive empathyWarm - Cold ✻ Incompetent - Competent ✻ Cognitive empathy0.51540.07120.375800.655011277.17.237< .001
Warmth1 ✻ Valence1 ✻ Cognitive empathyWarm - Cold ✻ Positive - Negative ✻ Cognitive empathy-0.16890.0707-0.30741-0.030311271.3-2.3890.017
Competence1 ✻ Valence1 ✻ Cognitive empathyIncompetent - Competent ✻ Positive - Negative ✻ Cognitive empathy-0.27960.0706-0.41792-0.141211263.2-3.960< .001
Warmth1 ✻ Competence1 ✻ Emotional empathyWarm - Cold ✻ Incompetent - Competent ✻ Emotional empathy-0.34230.0758-0.49090-0.193611272.6-4.513< .001
Warmth1 ✻ Valence1 ✻ Emotional empathyWarm - Cold ✻ Positive - Negative ✻ Emotional empathy0.40520.07570.256860.553511265.25.354< .001
Competence1 ✻ Valence1 ✻ Emotional empathyIncompetent - Competent ✻ Positive - Negative ✻ Emotional empathy0.10790.0756-0.040240.256111263.31.4280.153
Warmth1 ✻ Competence1 ✻ Valence1 ✻ Cognitive empathyWarm - Cold ✻ Incompetent - Competent ✻ Positive - Negative ✻ Cognitive empathy0.12880.1423-0.150190.407711273.80.9050.366
Warmth1 ✻ Competence1 ✻ Valence1 ✻ Emotional empathyWarm - Cold ✻ Incompetent - Competent ✻ Positive - Negative ✻ Emotional empathy0.29850.15130.002010.594911263.81.9730.048

 

Random Components
GroupsNameSDVarianceICC
Subject_ID(Intercept)7.5657.20.0898
Trial_ID(Intercept)9.1283.10.1253
Residual 24.08580.0 
Note. Number of Obs: 11392 , groups: Subject_ID 89, Trial_ID 32

 

Estimated Marginal Means

Warmth
95% Confidence Interval
WarmthMeanSEdfLowerUpper
Cold50.71.8346.947.054.4
Warm59.01.8346.855.362.7

 

Competence
95% Confidence Interval
CompetenceMeanSEdfLowerUpper
Competent58.11.8346.954.561.8
Incompetent51.51.8346.747.955.2

 

Valence
95% Confidence Interval
ValenceMeanSEdfLowerUpper
Negative53.72.4437.548.758.6
Positive56.02.4437.651.161.0

 

Competence:Warmth
95% Confidence Interval
CompetenceWarmthMeanSEdfLowerUpper
CompetentCold52.01.8750.548.255.7
IncompetentCold49.41.8649.645.753.1
CompetentWarm64.31.8649.960.668.0
IncompetentWarm53.71.8650.050.057.4

 

Valence:Warmth
95% Confidence Interval
ValenceWarmthMeanSEdfLowerUpper
NegativeCold54.32.4638.949.359.3
PositiveCold47.12.4639.142.152.1
NegativeWarm53.02.4638.948.058.0
PositiveWarm65.02.4639.060.070.0

 

Competence:Valence
95% Confidence Interval
CompetenceValenceMeanSEdfLowerUpper
CompetentNegative53.72.4638.948.758.7
IncompetentNegative53.62.4638.848.758.6
CompetentPositive62.62.4639.257.667.6
IncompetentPositive49.52.4638.944.554.4

 

Competence:Valence:Warmth
95% Confidence Interval
CompetenceValenceWarmthMeanSEdfLowerUpper
CompetentNegativeCold48.92.5141.943.854.0
IncompetentNegativeCold59.72.5041.554.764.8
CompetentPositiveCold55.12.5242.750.060.1
IncompetentPositiveCold39.12.5041.534.044.1
CompetentNegativeWarm58.52.5041.553.463.5
IncompetentNegativeWarm47.62.5041.742.552.6
CompetentPositiveWarm70.12.5141.965.175.2
IncompetentPositiveWarm59.82.5141.954.864.9

 

Results Plots

Cognitive empathy = Mean-1·SD

Cognitive empathy = Mean

Cognitive empathy = Mean+1·SD

References

[1] The jamovi project (2020). jamovi. (Version 1.2) [Computer Software]. Retrieved from https://www.jamovi.org.

[2] R Core Team (2019). R: A Language and environment for statistical computing. (Version 3.6) [Computer software]. Retrieved from https://cran.r-project.org/.

[3] Gallucci, M. (2019). GAMLj: General analyses for linear models. [jamovi module]. Retrieved from https://gamlj.github.io/.