Mount Saint Vincent University Analysis of Variance Method Exam

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Mount Saint Vincent University

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Question 2 Explain in context whether or not the assumptions have been met. State the assumption and condition(s), and refer to the graphs as appropriate. Not yet answered Marked out of 14.00 7 i B I iii III ? Flag question Paragraph styles State the null and alternative hypotheses in the context of the problem, and define Mi in context. Not yet answered i 7 B I Marked out of iii III ? 5.00 Flag question Question 4 Show how the value of the test statistic is calculated, by showing both the formula and the numbers substituted in. Not yet answered 1 i B I III ? Marked out of 2.00 P Flag question Question 5 Assess the strength of the evidence. Not yet answered 1 i B I ? Marked out of 2.00 P Flag question Question 6 State your conclusion in the context of the problem. Not yet answered Marked out of I B I iii III 4.00 P Flag question Question 7 Not yet Since there is evidence of a difference, we want to look more closely to see which methods might differ. Use the following Tukey section of the Minitab output to answer this question and the next one. Interpret the first Tukey interval (comparing Method 2 to Method 1, taken from the MINITAB output). answered Marked out of 4.00 1 io B I III P Flag question Question 8 Based on the Tukey intervals, which Methods differ? Explain. Not yet answered Marked out of 1 i B I iii 2.00 Information P Flag question A clinical psychologist wished to compare three methods for reducing hostility levels in adults. A certain test with the acronym HLT was used to measure the degree of hostility. A high score on this test indicated high hostility. Twelve adults who obtained high and nearly equal scores were used in this treatment. Four were selected at random from among the twelve cases and treated with method 1. Four of the remaining eight adults were selected at random and treated with method 2. The remaining four adults were treated with method 3. All treatments were continued for three months, at which time each adult was retested. The results of the second test were recorded. Use these data to perform an analysis of variance to determine if there are differences among mean scores for these methods by following the steps below. The Minitab output needed to answer the questions is posted on Moodle. Question 1 Based on the individual value plot, what can you say about the difference in the mean hostility levels for each sample? Explain. Not yet answered Marked out of 2.00 1 B I iii III ? P Flag question
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Explanation & Answer

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ANOVA (Minitab) Exam
Q.1.
Based on Individual Value Plots for all three methods, we can say that mean hostility levels are
different across all three samples.
More specifically, mean score for hostility levels are highest under Method 1 followed by
Method 2 and lowest under Method 3.
Q.2
Analysis of Variance (ANOVA) method is used when we have to make comparisons between
three or more groups of data. In our question, we consider three samples to be treated under
three different methods as separate data groups.
Following are the assumptions for a One-Way ANOVA•

Normality –Each sample is taken from a normally distributed population

If we have large number of observations in a sample, the distribution of data converges ...


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