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    "question_id": "4261357",
    "url": "\/study-help\/questions\/ttest-application-testing-assumptions-the-levene-test-the-homogeneity-of-4261357",
    "question_creation_date_js": "2024-06-28T07:13:45-04:00",
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    "meta_title": "[Solved] t-Test Application Testing Assumptions: T | SolutionInn",
    "meta_description": "Answer of - t-Test Application Testing Assumptions: The Levene Test The homogeneity of variance assumption is tested with the Leve | SolutionInn",
    "meta_keywords": "-test,application,testing,assumptions,levene,test,homogeneity,variance,assumption,tested,automatically,generated",
    "question_title_h1": "t-Test Application Testing Assumptions: The Levene Test The homogeneity of variance assumption is tested with the Levene test. The Levene test is automatically generated in",
    "question_title": "t-Test Application Testing Assumptions: The Levene Test The homogeneity of variance assumption",
    "question_title_for_js_snippet": "t Test Application Testing Assumptions  The Levene Test The homogeneity of variance assumption is tested with the Levene test  The Levene test is automatically generated in SPSS when an independent samples t test is conducted  The null hypothesis for the Levene test is that group variances are equal  A significant Levene test (p    05) indicates that the homogeneity of variance assumption is violated  In this case, report the  Equal variances not assumed  row of the t test output from SPSS  This version of the t test uses a more conservative adjusted degrees of freedom (df) that compensates for the homogeneity violation  The adjusted df can often result in a decimal number (such as df   13 4), which is commonly rounded to a whole number in reporting (df   13)  If the Levene test is not significant (that is, homogeneity is assumed), report the  Equal variances assumed  row   Proper Reporting of the Independent Samples t test Reporting a t test requires an understanding of several elements, including the statistical notation for an independent samples t test (t), the degrees of freedom in parentheses, the t value, and the probability value  To provide context, provide the means and standard deviations for each group  For example, you might report  The mean test score for Class A (M   93 32, SD   2 1) was higher than the mean test score for Class B (M   81 46 SD   1 9)  This was a statistically significant difference, t(98)   2 75, p    013  t, Degrees of Freedom, and t Value The statistical notation for an independent samples t test is t, and following it is the degrees of freedom for this statistical test  The degrees of freedom for t is n1   n2 2, where n1 equals the number of participants in Group 1 and n2 equals the number of participants in Group 2  In the example above, there are 50 people in each group  N   100 ( n1   50  n2   50), so the df   98  (n1   n2 ) 2   It is not recommended that the t test be conducted with groups of fewer than 10 members  The t value is a ratio of the difference in group means divided by the standard error of the difference in sample means  The t value can be either positive or negative  21 Probability Value SPSS determined the exact p value to be  013  This p value is less than  05, which indicates that the null hypothesis should be rejected for the alternative hypothesisthat is, the two groups are significantly different in test scores ",
    "question_description": "<p><strong>t-Test Application Testing Assumptions:<\/strong><\/p> <p>The Levene Test The homogeneity of variance assumption is tested with the Levene test. The Levene test is automatically generated in SPSS when an independent samples t-test is conducted. The null hypothesis for the Levene test is that group variances are equal. A significant Levene test (p < .05) indicates that the homogeneity of variance assumption is violated.<\/p> <p><\/p> <p>In this case, report the \"Equal variances not assumed\" row of the t-test output from SPSS. This version of the t-test uses a more conservative adjusted degrees of freedom (df) that compensates for the homogeneity violation. The adjusted df can often result in a decimal number (such as df = 13.4), which is commonly rounded to a whole number in reporting (df = 13). If the Levene test is not significant (that is, homogeneity is assumed), report the \"Equal variances assumed\" row.. Proper Reporting of the Independent Samples t-test Reporting a t-test requires an understanding of several elements, including the statistical notation for an independent samples t-test (t), the degrees of freedom in parentheses, the t value, and the probability value.<\/p> <p><\/p> <p>To provide context, provide the means and standard deviations for each group. For example, you might report: The mean test score for Class A (M = 93.32, SD = 2.1) was higher than the mean test score for Class B (M = 81.46 SD = 1.9). This was a statistically significant difference, t(98) = 2.75, p = .013. t, Degrees of Freedom, and t Value The statistical notation for an independent samples t-test is t, and following it is the degrees of freedom for this statistical test. The degrees of freedom for t is n1 + n2  2, where n1 equals the number of participants in Group 1 and n2 equals the number of participants in Group 2.<\/p> <p><\/p> <p>In the example above, there are 50 people in each group: N = 100 ( n1 = 50; n2 = 50), so the df = 98 [(n1 + n2 )  2]. It is not recommended that the t-test be conducted with groups of fewer than 10 members. The t value is a ratio of the difference in group means divided by the standard error of the difference in sample means. The t value can be either positive or negative. 21 Probability Value SPSS determined the exact p value to be .013. This p value is less than .05, which indicates that the null hypothesis should be rejected for the alternative hypothesisthat is, the two groups are significantly different in test scores.<\/p>",
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