Write out the null and alternative hypothesis for the one-way between-subjects ANOVA examining if developmental age group has an effect on the number of driving errors committed when a same-age peer...

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Answered Same DayOct 03, 2021

Answer To: Write out the null and alternative hypothesis for the one-way between-subjects ANOVA examining if...

Pritam Kumar answered on Oct 03 2021
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PSY3901: Experimental Psychology 1
Week 5 Assignment Written Responses
Week 5 Assignment: One Factor ANOVAs
Written Response Worksheet
    NAME:
    
Instructions: Follow along with the step-by-step instruction manual provided for the Week 5 Assignmen
t. The instruction manual will make specific reference to data interpretation questions that require written responses. Use this worksheet to answer these written response questions. Each question is listed below along with the number of points each question is worth toward the assignment. Type your response in the space provided below each question.
PART I: One-Way Between-Subjects ANOVA
    QUESTION 1
    3 points
    Write out the null and alternative hypothesis for the one-way between-subjects ANOVA examining if developmental age group has an effect on the number of driving errors committed when a same-age peer is watching.
    Null Hypothesis:
    The developmental age group has no effect on the number of driving errors committed when a same-age peer is watching
    Alternative Hypothesis:
    The developmental age group has some effect on the number of driving errors committed when a same-age peer is watching
    QUESTION 2
    3 points
    Examine the variability measures and the Levene’s Test for Equality of Variances. Based on these test results, does our data have problems meeting the equality of variance assumption? Should we consider using an alternative test such as the Welch or Brown-Forsythe to interpret the results of the test?
    We get a p-value of 0.076 > 0.05 for the test of homogeneity in our case. So, the population variances are not significantly different, or the population variances are equal. We do not need any alternative tests in our case.
    QUESTION 3
    3 points
    What were the results of the one-way ANOVA? Indicate whether the test was statistically significant or not, state whether you would reject or fail to reject the null hypothesis, and report the F-ratio results in statistical notation.
    The ANOVA test was statistically significant with a p-value of 0.006 << 0.05. So, we say there is a statistically significant difference between the means of the different levels. We reject the null hypothesis. The F-ratio is F(2,33) = 6.068.
    QUESTION 4
    3 points
    Use your one-way between-subjects ANOVA output to calculate the effect size eta-squared (). Report and interpret this effect size below.
    Effect size = 56.722/210.972 = 0.2688. So the relative size is small (0.2) to medium (0.5). This means that if the...
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