| Multivariate Tests | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | F | df1 | df2 | p | |||||||||
| SES | Pillai's Trace | 0.553 | 1.35 | 46 | 162 | 0.091 | |||||||
| Wilks' Lambda | 0.516 | 1.36 | 46 | 160 | 0.082 | ||||||||
| Hotelling's Trace | 0.805 | 1.38 | 46 | 158 | 0.074 | ||||||||
| Roy's Largest Root | 0.571 | 2.01 | 23 | 81 | 0.012 | ||||||||
| sex | Pillai's Trace | 0.104 | 4.67 | 2 | 80 | 0.012 | |||||||
| Wilks' Lambda | 0.896 | 4.67 | 2 | 80 | 0.012 | ||||||||
| Hotelling's Trace | 0.117 | 4.67 | 2 | 80 | 0.012 | ||||||||
| Roy's Largest Root | 0.117 | 4.67 | 2 | 80 | 0.012 | ||||||||
| SES ✻ sex | Pillai's Trace | 0.392 | 1.16 | 34 | 162 | 0.266 | |||||||
| Wilks' Lambda | 0.639 | 1.18 | 34 | 160 | 0.243 | ||||||||
| Hotelling's Trace | 0.518 | 1.20 | 34 | 158 | 0.223 | ||||||||
| Roy's Largest Root | 0.398 | 1.90 | 17 | 81 | 0.030 | ||||||||
| Univariate Tests | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dependent Variable | Sum of Squares | df | Mean Square | F | p | ||||||||
| SES | SelfEsteem | 1115.0 | 23 | 48.5 | 1.485 | 0.100 | |||||||
| LifeSatisfaction | 1298.6 | 23 | 56.5 | 1.883 | 0.020 | ||||||||
| sex | SelfEsteem | 21.5 | 1 | 21.5 | 0.659 | 0.419 | |||||||
| LifeSatisfaction | 267.6 | 1 | 267.6 | 8.923 | 0.004 | ||||||||
| SES ✻ sex | SelfEsteem | 550.0 | 17 | 32.4 | 0.991 | 0.477 | |||||||
| LifeSatisfaction | 961.6 | 17 | 56.6 | 1.886 | 0.031 | ||||||||
| Residuals | SelfEsteem | 2644.5 | 81 | 32.6 | |||||||||
| LifeSatisfaction | 2428.8 | 81 | 30.0 | ||||||||||
| Box's Homogeneity of Covariance Matrices Test | |||||
|---|---|---|---|---|---|
| χ² | df | p | |||
| NaN | ᵃ | 123 | NaN | ᵃ | |
| ᵃ Too few observations to calculate statistic. Each (sub)group must have at least as many observations as there are dependent variables. | |||||
| Shapiro-Wilk Multivariate Normality Test | |||
|---|---|---|---|
| W | p | ||
| 0.947 | < .001 | ||
| [3] | |||
| One-Way ANOVA (Welch's) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| F | df1 | df2 | p | ||||||
| SelfEsteem | 0.225 | 1 | 71.4 | 0.637 | |||||
| LifeSatisfaction | 2.926 | 1 | 61.4 | 0.092 | |||||
| Group Descriptives | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| sex | N | Mean | SD | SE | |||||||
| SelfEsteem | Female | 87 | 28.5 | 6.13 | 0.657 | ||||||
| Male | 36 | 28.0 | 5.58 | 0.930 | |||||||
| LifeSatisfaction | Female | 87 | 25.4 | 6.18 | 0.663 | ||||||
| Male | 36 | 23.2 | 6.65 | 1.108 | |||||||
| Normality Test (Shapiro-Wilk) | |||||
|---|---|---|---|---|---|
| W | p | ||||
| SelfEsteem | 0.915 | < .001 | |||
| LifeSatisfaction | 0.945 | < .001 | |||
| Note. A low p-value suggests a violation of the assumption of normality | |||||
| Homogeneity of Variances Test (Levene's) | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| F | df1 | df2 | p | ||||||
| SelfEsteem | 0.0106 | 1 | 121 | 0.918 | |||||
| LifeSatisfaction | 0.0954 | 1 | 121 | 0.758 | |||||
| [4] | |||||||||
| Paired Samples T-Test | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| statistic | df | p | |||||||||
| One Sample T-Test | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Statistic | df | p | |||||||
| LifeSatisfaction | Student's t | 43.3 | 130 | < .001 | |||||
| SES | Student's t | 26.8 | 130 | < .001 | |||||
| SelfEsteem | Student's t | 54.7 | 130 | < .001 | |||||
| Multivariate Tests | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| value | F | df1 | df2 | p | |||||||||
| SES | Pillai's Trace | 0.490 | 1.36 | 50 | 210 | 0.069 | |||||||
| Wilks' Lambda | 0.566 | 1.37 | 50 | 208 | 0.067 | ||||||||
| Hotelling's Trace | 0.668 | 1.38 | 50 | 206 | 0.064 | ||||||||
| Roy's Largest Root | 0.446 | 1.87 | 25 | 105 | 0.015 | ||||||||
| Univariate Tests | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dependent Variable | Sum of Squares | df | Mean Square | F | p | ||||||||
| SES | LifeSatisfaction | 1666 | 25 | 66.7 | 1.85 | 0.017 | |||||||
| SelfEsteem | 1107 | 25 | 44.3 | 1.34 | 0.155 | ||||||||
| Residuals | LifeSatisfaction | 3790 | 105 | 36.1 | |||||||||
| SelfEsteem | 3470 | 105 | 33.0 | ||||||||||
| Box's Homogeneity of Covariance Matrices Test | |||||
|---|---|---|---|---|---|
| χ² | df | p | |||
| NaN | ᵃ | 75 | NaN | ᵃ | |
| ᵃ Too few observations to calculate statistic. Each (sub)group must have at least as many observations as there are dependent variables. | |||||
| Shapiro-Wilk Multivariate Normality Test | |||
|---|---|---|---|
| W | p | ||
| 0.955 | < .001 | ||
| [3] | |||
| Descriptives | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| sex | SES | LifeSatisfaction | SelfEsteem | ||||||
| N | 123 | 131 | 131 | 131 | |||||
| Missing | 8 | 0 | 0 | 0 | |||||
| Mean | 15.9 | 24.5 | 28.4 | ||||||
| Std. error mean | 0.592 | 0.566 | 0.518 | ||||||
| Median | 15 | 25 | 29 | ||||||
| Standard deviation | 6.78 | 6.48 | 5.93 | ||||||
| Minimum | 0 | 0 | 0 | ||||||
| Maximum | 29 | 35 | 40 | ||||||
| Skewness | 0.432 | -0.944 | -1.21 | ||||||
| Std. error skewness | 0.212 | 0.212 | 0.212 | ||||||
| Shapiro-Wilk W | 0.948 | 0.943 | 0.922 | ||||||
| Shapiro-Wilk p | < .001 | < .001 | < .001 | ||||||
The variable 'sex' cannot be treated as numeric. Therefore plots that expect numeric data will not be created for this variable.
[1] The jamovi project (2021). jamovi. (Version 2.0) [Computer Software]. Retrieved from https://www.jamovi.org.
[2] R Core Team (2021). R: A Language and environment for statistical computing. (Version 4.0) [Computer software]. Retrieved from https://cran.r-project.org. (R packages retrieved from MRAN snapshot 2021-04-01).
[3] Jarek, S. (2012). mvnormtest: Normality test for multivariate variables. [R package]. Retrieved from https://cran.r-project.org/package=mvnormtest.
[4] Fox, J., & Weisberg, S. (2020). car: Companion to Applied Regression. [R package]. Retrieved from https://cran.r-project.org/package=car.