A statistics professor is studying the learning styles of co

A statistics professor is studying the learning styles of college students. The professor would like to determine the effect of material delivery method on comprehension. The study included four delivery methods: traditional classroom lecture, on-line, hybrid (classroom and on-line), and self-study. The professor randomly divided his class of 80 students into four groups of 20 students with each group using one of the delivery methods. At the end of the study period, all 80 students took the same 20 question multiple choice test.

A statistics professor is studying the learning styles of college students. The professor would like to determine the effect of material delivery method on comprehension. The study included four delivery methods: traditional classroom lecture, on-line, hybrid (classroom and on-line), and self-study. The professor randomly divided his class of 80 students into four groups of 20 students with each group using one of the delivery methods. At the end of the study period, all 80 students took the same 20 question multiple choice test. Use JMP to fit a one-way ANOVA to the data. Using a = 0.05 draw a conclusion for the ANOVA. Make sure you state your conclusion in the context of the problem. Use tukey\'s test with a = 0.05 to determine which delivery methods have significantly differently test scores. Determine with a = 0.05 if the variance in Test Scores is different by Delivery Methods Assume that Delivery Method is a random factor, i.e., the four delivery methods represent a random sample of all possible delivery methods. Estimate the components of variance in test score.

Solution

Null hypothesis: there is not significant effect of material delivery method on comprehension

Alternative hypothesis: there is a signficant effect of material delivery method on comprehension

The test statistic is

F=3.397

The p-value of F test is 0.022

Since the p-value is less than 0.05, we reject the null hypothesis.

So we can conclude that there is a signficant effect of material delivery method on comprehension

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Since the p-value is less than 0.05, we can conclude that Hybrid and Self Study delivery methods have significantly differently test scores.

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Null hypothesis: the variance in Test Scores is not different by Delivery Methods

Alternative hypothesis: the variance in Test Scores is different by Delivery Methods

The test statistic is

F=3.397

The p-value of F test is 0.022

Since the p-value is less than 0.05, we reject the null hypothesis.

So we can conclude that the variance in Test Scores is different by Delivery Methods

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Root Mean Square Error = 3.287436