Analyze the assumptions of the t test


Complete the following:

Step 1: Write Section 1 of the DAA

  • Include a definition of the specified variables (predictor, outcome) and corresponding scales of measurement.
  • Specify the sample size of the data set.

Step 2: Write Section 2 of the DAA

Task: Analyze the assumptions of the t test.

                                                      Case Processing Summary

 

Cases

Valid

Missing

Total

N

Percent

N

Percent

N

Percent

gender

105

100.0%

0

0.0%

105

100.0%

gpa

105

100.0%

0

0.0%

105

100.0%

916_hist.jpg

Task: Discuss your visual interpretations the SPSS histogram output for gpa.

Tests of Normality

 

Kolmogorov-Smirnova

Shapiro-Wilk

Statistic

df

Sig.

Statistic

df

Sig.

gender

.397

105

.000

.619

105

.000

gpa

.225

105

.000

.854

105

.000

a. Lilliefors Significance Correction

Task: Paste SPSS output for the Shapiro-Wilk test of gpa and interpret it.

Independent Samples Test

 

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

gender

Equal variances assumed

10.619

.002

-1.271

103

.207

-.149

.117

-.381

.083

Equal variances not assumed

 

 

-1.337

35.408

.190

-.149

.111

-.375

.077

gpa

Equal variances assumed

.154

.695

.831

103

.408

.698

.840

-.968

2.364

Equal variances not assumed

 

 

.848

33.961

.402

.698

.823

-.974

2.369

Task: Report the results of the Levene test and interpret it.

Task: Summarize whether or not the assumptions of the t test are met.

Step 3: Write Section 3 of the DAA

  • Specify a research question related to gender and gpa.
  • Articulate the null hypothesis and alternative hypothesis.
  • Specify the alpha level.

Step 4: Write Section 4 of the DAA

Independent Samples Test

 

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

gender

Equal variances assumed

10.619

.002

-1.271

103

.207

-.149

.117

-.381

.083

Equal variances not assumed

 

 

-1.337

35.408

.190

-.149

.111

-.375

.077

gpa

Equal variances assumed

.154

.695

.831

103

.408

.698

.840

-.968

2.364

Equal variances not assumed

 

 

.848

33.961

.402

.698

.823

-.974

2.369

    • Report the results of the SPSS output using proper APA guidelines .
    • Include:
      • t.
      • Degrees of freedom.
      • t value.
      • p value.
      • Effect size.
      • Interpretation of effect size.
      • Means and standard deviations for each group.
      • Mean difference.
      • 95% confidence interval of the difference of sample means.
  • Interpret the results against the null hypothesis.

Step 5: Write Section 5 of the DAA

  • Discuss the implications of this t test as it relates to the research question.
  • Conclude with an analysis of the strengths and limitations of t test analysis.

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Basic Statistics: Analyze the assumptions of the t test
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