PS395 A2D2 Show (2)

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Wilfrid Laurier University *

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PS395

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Statistics

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Feb 20, 2024

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docx

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Reliability Notes Output Created 23-JAN-2024 20:24:24 Comments Input Data C:\Users\erma7370\ Downloads\PS394 Class Survey F2023_anonymous.sav Active Dataset DataSet1 Filter <none> Weight <none> Split File <none> N of Rows in Working Data File 80 Matrix Input C:\Users\erma7370\ Downloads\PS394 Class Survey F2023_anonymous.sav Missing Value Handling Definition of Missing User-defined missing values are treated as missing. Cases Used Statistics are based on all cases with valid data for all variables in the procedure. Syntax RELIABILITY /VARIABLES=SelfAccep tanceMean LifeSatisfactionMean SelfEsteemMean /SCALE('ALL VARIABLES') ALL /MODEL=ALPHA /STATISTICS=DESCRIP TIVE SCALE /SUMMARY=TOTAL. Resources Processor Time 00:00:00.00 Elapsed Time 00:00:00.00

[DataSet1] C:\Users\erma7370\Downloads\PS394 Class Survey F2023_anonymous.sav Scale: ALL VARIABLES Reliability Statistics Cronbach's Alpha N of Items .858 3 Item-Total Statistics Scale Mean if Item Deleted Scale Variance if Item Deleted Corrected Item-Total Correlation Cronbach's Alpha if Item Deleted SelfAcceptanceMean 4.3773 2.102 .827 .714 LifeSatisfactionMean 4.9827 2.204 .646 .886 SelfEsteemMean 4.5413 2.213 .734 .799 Notes Output Created 23-JAN-2024 20:30:40 Comments Input Data C:\Users\erma7370\ Downloads\PS394 Class Survey F2023_anonymous.sav Active Dataset DataSet1 Filter <none> Weight <none> Split File <none> N of Rows in Working Data File 80 Missing Value Definition of Missing User-defined missing

Handling values are treated as missing. Cases Used Statistics are based on all cases with valid data. Syntax FREQUENCIES VARIABLES=SelfAccept anceMean LifeSatisfactionMean SelfEsteemMean /STATISTICS=STDDEV MEAN MEDIAN MODE /HISTOGRAM NORMAL /ORDER=ANALYSIS. Resources Processor Time 00:00:03.78 Elapsed Time 00:00:01.57 Histogram SelfAcceptanceMean 5.00 4.00 3.00 2.00 1.00 .00 20 15 10 5 0 SelfAcceptanceMean Mean = 2.57 Std. Dev. = .776 N = 75 The data appear symmetric and therefore are normally distributed.

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LifeSatisfactionMean 6.00 4.00 2.00 .00 -2.00 10 8 6 4 2 0 LifeSatisfactionMean Mean = 1.97 Std. Dev. = .852 N = 75 The data appear symmetric and therefore are normally distributed. SelfEsteemMean 4.00 3.00 2.00 1.00 10 8 6 4 2 0 SelfEsteemMean Mean = 2.41 Std. Dev. = .787 N = 76 The data appear symmetric and therefore are normally distribute d.

General Linear Model Notes Output Created 23-JAN-2024 20:38:10 Comments Input Data C:\Users\erma7370\ Downloads\PS394 Class Survey F2023_anonymous.sav Active Dataset DataSet1 Filter <none> Weight <none> Split File <none> N of Rows in Working Data File 80 Missing Value Handling Definition of Missing User-defined missing values are treated as missing. Cases Used Statistics are based on all cases with valid data for all variables in the model. Syntax GLM SelfAcceptanceMean LifeSatisfactionMean SelfEsteemMean /WSFACTOR=factor1 3 Polynomial /METHOD=SSTYPE(3) /EMMEANS=TABLES(O VERALL) /EMMEANS=TABLES(fa ctor1) COMPARE ADJ(BONFERRONI) /PRINT=DESCRIPTIVE ETASQ /CRITERIA=ALPHA(.05) /WSDESIGN=factor1.

Resources Processor Time 00:00:00.02 Elapsed Time 00:00:00.01 Within-Subjects Factors Measure: MEASURE_1 factor1 Dependent Variable 1 SelfAcceptanc eMean 2 LifeSatisfactio nMean 3 SelfEsteemMe an Descriptive Statistics Mean Std. Deviation N SelfAcceptanceMe an 2.5733 .77607 75 LifeSatisfactionMe an 1.9680 .85237 75 SelfEsteemMean 2.4093 .79068 75 Multivariate Tests a Effect Value F Hypothesis df Error df Sig. factor1 Pillai's Trace .467 31.986 b 2.000 73.000 <.001 Wilks' Lambda .533 31.986 b 2.000 73.000 <.001 Hotelling's Trace .876 31.986 b 2.000 73.000 <.001 Roy's Largest Root .876 31.986 b 2.000 73.000 <.001 Multivariate Tests a Effect Partial Eta Squared

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factor1 Pillai's Trace .467 Wilks' Lambda .467 Hotelling's Trace .467 Roy's Largest Root .467 a. Design: Intercept Within Subjects Design: factor1 b. Exact statistic Mauchly's Test of Sphericity a Measure: MEASURE_1 Within Subjects Effect Mauchly's W Approx. Chi- Square df Sig. Epsilon b Greenhouse- Geisser factor1 .780 18.165 2 <.001 .819 Based on p<.05 we reject the null hypothesis that the variances of the differences of all the treatment pairs are equal, and therefore we have violated the assumption of sphericity. Within Subjects Effect Epsilon Huynh- Feldt Lower- bound factor1 .836 .500 Tests of Within-Subjects Effects Measure: MEASURE_1 Source Type III Sum of Squares df Mean Square F Sig.

factor1 Sphericity Assumed 14.702 2 7.351 33.991 <.001 Greenhouse- Geisser 14.702 1.639 8.971 33.991 <.001 Huynh-Feldt 14.702 1.671 8.798 33.991 <.001 Lower-bound 14.702 1.000 14.702 33.991 <.001 Error(factor1 ) Sphericity Assumed 32.008 148 .216 Greenhouse- Geisser 32.008 121.282 .264 Huynh-Feldt 32.008 123.660 .259 Lower-bound 32.008 74.000 .433 Based on p<.05 we reject the null hypothesis that all the means are equal and conclude that there are significant differences in how much well-being is reported based on the type of well- being. Tests of Within-Subjects Effects Measure: MEASURE_1 Source Partial Eta Squared factor1 Sphericity Assumed .315 Greenhouse- Geisser .315 Huynh-Feldt .315 Lower-bound .315 Error(factor1 ) Sphericity Assumed Greenhouse- Geisser Huynh-Feldt Lower-bound Tests of Between-Subjects Effects Measure: MEASURE_1 Transformed Variable: Average Source Type III Sum of Squares df Mean Square F Sig. Partial Eta Squared Intercept 1207.794 1 1207.794 793.842 <.001 .915 Error 112.588 74 1.521

Estimates Measure: MEASURE_1 factor1 Mean Std. Error 95% Confidence Interval Lower Bound Upper Bound 1 2.573 .090 2.395 2.752 2 1.968 .098 1.772 2.164 3 2.409 .091 2.227 2.591 Pairwise Comparisons Measure: MEASURE_1 (I) factor1 (J) factor1 Mean Difference (I- J) Std. Error Sig. b 95% Confidence Interval for Difference b Lower Bound Upper Bound 1 2 .605 * .077 <.001 .417 .794 3 .164 * .058 .018 .022 .306 2 1 -.605 * .077 <.001 -.794 -.417 3 -.441 * .090 <.001 -.661 -.222 3 1 -.164 * .058 .018 -.306 -.022 2 .441 * .090 <.001 .222 .661 Based on estimated marginal means *. The mean difference is significant at the .05 level. b. Adjustment for multiple comparisons: Bonferroni. Based on p<.05 and CI’s not containing zero, there is a significantly higher amount of well-being related to self-acceptance compared to life-satisfaction and significantly lower amount of well- being related to life-satisfaction compared to self-esteem. Based on p<.05 and a CI not containing zero, the slightly higher amount of well-being related to self-acceptance compared to self-esteem is significant. Multivariate Tests Value F Hypothesis df Error df Sig. Partial Eta Squared Pillai's trace .467 31.986 a 2.000 73.000 <.001 .467

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Wilks' lambda .533 31.986 a 2.000 73.000 <.001 .467 Hotelling's trace .876 31.986 a 2.000 73.000 <.001 .467 Roy's largest root .876 31.986 a 2.000 73.000 <.001 .467 Each F tests the multivariate effect of factor1. These tests are based on the linearly independent pairwise comparisons among the estimated marginal means. a. Exact statistic Correlations Notes Output Created 23-JAN-2024 20:43:04 Comments Input Data C:\Users\erma7370\ Downloads\PS394 Class Survey F2023_anonymous.sav Active Dataset DataSet1 Filter <none> Weight <none> Split File <none> N of Rows in Working Data File 80 Missing Value Handling Definition of Missing User-defined missing values are treated as missing. Cases Used Statistics for each pair of variables are based on all the cases with valid data for that pair. Syntax CORRELATIONS /VARIABLES=SelfAccep tanceMean LifeSatisfactionMean SelfEsteemMean /PRINT=TWOTAIL NOSIG FULL

/MISSING=PAIRWISE. Resources Processor Time 00:00:00.00 Elapsed Time 00:00:00.01 Correlations SelfAcceptanc eMean LifeSatisfactio nMean SelfEsteemMe an SelfAcceptanceMe an Pearson Correlation 1 .668 ** .796 ** Sig. (2-tailed) <.001 <.001 N 75 75 75 LifeSatisfactionMe an Pearson Correlation .668 ** 1 .556 ** Sig. (2-tailed) <.001 <.001 N 75 75 75 SelfEsteemMean Pearson Correlation .796 ** .556 ** 1 Sig. (2-tailed) <.001 <.001 N 75 75 76 **. Correlation is significant at the 0.01 level (2-tailed).

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