Interpret the following output examining grouop differences

Interpret the following output examining grouop differences for purchase intentions. The three groups refer to consumers from three states: illinois, Louisiana, and Texas. Assume the significance level is 0.05. In 2-3 sentences, what assumptions can you make? Tests of Between-Subject Effects Dependent Variable: int2 Source Type III Sum of Squares df Mean Square F Sig. Corrected Model 6681.746 2 3340.873 3.227 0.043 Intercept 308897.012 1 308897.012 298.323 0.000 State 6681.746 2 3340.873 3.227 0.043 Error 148068.543 143 1035.444 Total 459697.250 146 Corrected Total 154750.289 145 Law Dependent Variable: int2 95% confidence interval State Mean Std. Error Lower Bound Upper Bound IL 37.018 4.339 28.441 45.595 LA 50.357 4.965 40.542 60.172 TX 51.459 4.597 42.373 60.546 Comment

Solution

Lets first rearrange and classify data in tabular form for easyness.

We have F=3.227and P=0.043 which shows that there exists a significant differences in mean for purchase intentions between the stated three states (illinois, Louisiana, and Texas). By observing the mean scores we get that Louisiana is having highest means score(50.357) and Illinois is having lowest mean score(37.018).

To which we can state the following assumptions:

Assumptions for Analysis of Variance

1.The samples are randomly selected from the normal population

2. Samples are random and independent

3.The variances of the populations for all groups are equal.