NCSS Response Variable

NCSS 12.0.4

7/18/2018 6:33:16 PM

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Two-Sample Test Report Dataset Response Variable Group Variable Difference

C:\...\TempState\Downloads\ESS (1).NCSS Total_Score gender gender (gender gender=0 male) - (gender gender=1 female)

Descriptive Statistics ───────────────────────────────────────────────────────── Standard Standard 95% 95% Deviation Error LCL of UCL of Variable Count Mean of Data of Mean T* Mean Mean gender gender=0 male 20 8.95 3.734265 0.8350071 2.0930 7.20231 10.69769 gender gender=1 female 20 8.75 3.905125 0.8732125 2.0930 6.922345 10.57765

Descriptive Statistics for the Median ─────────────────────────────────────────────── 95% LCL 95% UCL Variable Count Median of Median of Median gender gender=0 male 20 8.5 7 11 gender gender=1 female 20 9 6 11

Two-Sided Confidence Interval for μ1 - μ2 ─────────────────────────────────────────── 95% C. I. of μ1 - μ2 Variance Mean Standard Standard Lower Upper Assumption DF Difference Deviation Error T* Limit Limit Equal 38 0.2 3.82065 1.208196 2.0244 -2.245864 2.645864 Unequal 37.92 0.2 5.403215 1.208196 2.0245 -2.246025 2.646025

Equal-Variance T-Test ──────────────────────────────────────────────────────── Alternative Hypothesis μ1 - μ2 ≠ 0 μ1 - μ2 < 0 μ1 - μ2 > 0

Mean Difference 0.2 0.2 0.2

Standard Error 1.208196 1.208196 1.208196

T-Statistic 0.1655 0.1655 0.1655

DF 38 38 38

Prob Level 0.86940 0.56530 0.43470

Reject H0 at α = 0.050? No No No

Aspin-Welch Unequal-Variance T-Test ────────────────────────────────────────────── Alternative Hypothesis μ1 - μ2 ≠ 0 μ1 - μ2 < 0 μ1 - μ2 > 0

Mean Difference 0.2 0.2 0.2

Standard Error 1.208196 1.208196 1.208196

T-Statistic 0.1655 0.1655 0.1655

DF 37.92 37.92 37.92

Prob Level 0.86940 0.56530 0.43470

Reject H0 at α = 0.050? No No No

NCSS 12.0.4

7/18/2018 6:33:16 PM Two-Sample Test Report

Dataset Response Variable Group Variable Difference

C:\...\TempState\Downloads\ESS (1).NCSS Total_Score gender gender (gender gender=0 male) - (gender gender=1 female)

Mann-Whitney U or Wilcoxon Rank-Sum Test for Difference in Location ─────────────────────── MannVariable Whitney U gender gender=0 male 207 gender gender=1 female 193

Sum of Ranks (W) 417 403

Mean of W 410 410

Std Dev of W 36.81555 36.81555

Number of Sets of Ties = 11, Multiplicity Factor = 528

Test Type Exact* Exact* Exact*

Alternative Hypothesis Location Diff. ≠ 0 Location Diff. < 0 Location Diff. > 0

Z-Value

Prob Level

Reject H0 at α = 0.050?

Normal Approximation Normal Approximation Normal Approximation

Location Diff. ≠ 0 Location Diff. < 0 Location Diff. > 0

0.1901 0.1901 0.1901

0.84920 0.57540 0.42460

No No No

Normal Approx. with C.C. Normal Approx. with C.C. Normal Approx. with C.C.

Location Diff. ≠ 0 Location Diff. < 0 Location Diff. > 0

0.1766 0.2037 0.1766

0.85986 0.58071 0.42993

No No No

* The Exact Test is provided only when there are no ties and the sample size is ≤ 20 in both groups.

Kolmogorov-Smirnov Test For Comparing Distributions ──────────────────────────────────

Alternative Hypothesis D(1) ≠ D(2) D(1) < D(2) D(1) > D(2)

LargestDifference Criterion Value 0.200000 0.050000 0.200000

Prob Level 0.831970 0.500000 0.415985

Reject H0 at α = 0.050? No No No

Tests of the Normality Assumption for gender gender=0 male ────────────────────────────── Reject H0 of Normality Normality Test Test Statistic Prob Level at α = 0.050? Shapiro-Wilk 0.9583 0.51061 No Skewness -1.0343 0.30098 No Kurtosis 0.7062 0.48006 No Omnibus (Skewness or Kurtosis) 1.5686 0.45645 No

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NCSS 12.0.4

7/18/2018 6:33:16 PM Two-Sample Test Report

Dataset Response Variable Group Variable Difference

C:\...\TempState\Downloads\ESS (1).NCSS Total_Score gender gender (gender gender=0 male) - (gender gender=1 female)

Tests of the Normality Assumption for gender gender=1 female ───────────────────────────── Reject H0 of Normality Normality Test Test Statistic Prob Level at α = 0.050? Shapiro-Wilk 0.9776 0.89914 No Skewness 0.0909 0.92754 No Kurtosis -0.7347 0.46254 No Omnibus (Skewness or Kurtosis) 0.5480 0.76033 No

Tests of the Equal Variance Assumption ──────────────────────────────────────────── Reject H0 of Equal Variances Equal-Variance Test Test Statistic Prob Level at α = 0.050? Variance-Ratio 1.0936 0.84740 No Modified-Levene 0.1718 0.68087 No

Plots Section ──────────────────────────────────────────────────────────────

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NCSS 12.0.4

7/18/2018 6:33:16 PM Two-Sample Test Report

Dataset Response Variable Group Variable Difference

C:\...\TempState\Downloads\ESS (1).NCSS Total_Score gender gender (gender gender=0 male) - (gender gender=1 female)

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NCSS 12.0.4

7/18/2018 6:33:16 PM Two-Sample Test Report

Dataset Response Variable Group Variable Difference

C:\...\TempState\Downloads\ESS (1).NCSS Total_Score gender gender (gender gender=0 male) - (gender gender=1 female)

Procedure Input Settings ────────────────────────────────────────────────────── Autosave Inactive Variables Tab Data Input Type:

Response Variable(s) and Group Variable(s)

-- Variables ---------------------------------------------------------------------------------------------------------------------------------Response Variable(s): Total_Score Group Variable(s): gender Reports Tab -- Descriptive Statistics and Confidence Intervals --------------------------------------------------------------------------------Confidence Level: 95 Descriptive Statistics and Confidence Intervals Checked of Each Group Confidence Interval of μ1 - μ2 Checked Limits: Two-Sided Bootstrap Confidence Intervals Unchecked Confidence Intervals of Each Group Standard Unchecked Deviation Confidence Interval of σ1/σ2 Unchecked -- Tests ---------------------------------------------------------------------------------------------------------------------------------------Alpha: 0.05 H0: μ1 - μ2 = 0.0 Ha: Two-Sided and One-Sided ·· Parametric ································································································································ Equal-Variance T-Test Checked Unequal-Variance T-Test Checked Z-Test Unchecked Power Report for Equal-Variance T-Test Unchecked Power Report for Unequal-Variance T-Test Unchecked ·· Nonparametric ··························································································································· Randomization Test Unchecked Mann-Whitney U Test (Wilcoxon Rank-Sum Test) Checked Exact Test Checked Normal Approximation Test Checked Normal Approximation Test with Continuity Checked Correction Kolmogorov-Smirnov Test Checked -- Assumptions -----------------------------------------------------------------------------------------------------------------------------Tests of Assumptions Checked Assumptions Alpha: 0.05 Report Options Tab -- Report Options --------------------------------------------------------------------------------------------------------------------------Variable Names: Both

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Value Labels:

Both

NCSS 12.0.4

7/18/2018 6:33:16 PM Two-Sample Test Report

Dataset Response Variable Group Variable Difference

C:\...\TempState\Downloads\ESS (1).NCSS Total_Score gender gender (gender gender=0 male) - (gender gender=1 female)

Procedure Input Settings (Continued) Report Options Tab (Continued) -- Decimal Places -------------------------------------------------------------------------------------------------------------------------Means, Differences, and C.I. Limits: Auto (Up to 7) Standard Deviations and Standard Errors: Auto (Up to 7) P-Values and Powers: 5 Test Statistics: 4 Plots Tab -- Select Plots ------------------------------------------------------------------------------------------------------------------------------Histogram Checked Probability Plot Checked Box Plot Checked ·· Bootstrap Confidence Intervals ······································································································ Bootstrap Confidence Interval Histograms Checked

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