Purchase Solution

One way anova and levene's test for testing the variance among groups

Not what you're looking for?

Ask Custom Question

An advertising agency has been hired by a manufacturer of pens to develop an advertising campaign for the upcoming holiday season. To prepare for this project, the research director decides to initiate a study of the effect of advertising on product perception. An experiment is designed to compare five different advertisements. Advertisement A greatly undersells the pen's characteristics. Advertisement B slightly undersells the pen's characteristics. Advertisement C slightly oversells the pen's characteristics. Advertisement D greatly oversells the pen's characteristics. Advertisement E attempts to correctly stat the pen's characteristics. A sample of 30 adults respondents, taken from a larger focus group, is randomly assigned to the five advertisements(so that there are six respondents to each). After reading the advertisement and developing a sense of "product expectation," all respondents
unknowingly receive the same pen to evaluate. The respondents are permitted to test the pen and the plausibility of the advertising copy. The respondents are then asked to rate the pen from 1 to 7 (lowest to highest) on the product characteristic scales of appearance, durability, and writing performance. The combined scores of three ratings (appearance, durability, and writing performance) for the 30 respondents in the data to the left.

a. At the 0.05 level of significance, is there evidence of a difference in the mean rating of the five advertisements?

b. If appropriate, determine which advertisements differ in mean ratings.

c. At the 0.05 level of significance, is there evidence of a difference in the variation in ratings among the five advertisements?

d. Which advertisement(s) should you use, and which advertisement(s) should you avoid?

See attached file for data.

Attachments
Purchase this Solution
Solution Summary

This solution is comprised of a detailed explanation of one way ANOVA for testing the mean of more than two groups and levene's test for testing of variance for more than 2 groups. This solution mainly discussed about the output of one way ANOVA and Levene's test for equality of more than 2 groups. Full interpretation with respect to 4 questions with output is provided for better clarity and understanding.

Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

View More Free Quizzes
Related BrainMass Solutions

  • Testing of hypothesis, Interpreataion of linear correlation

    1 When using the f-statistic for hypothesis testing of the variance, which sample variance is the numerator and which sample variance is the denominator? Numerator: Variance among the sample means Denominator: Within sample variance 2.

  • ANOVA Analysis Of College Student's Age Survey

    One-Way ANOVA Analyses in SPSS Using Sample Analysis of Student Ages & Year in College The one-way analysis of variance (ANOVA) compares the means of three or more groups of samples to determine if they are statistically, significantly different.

  • One-way ANOVA F-test, & Chi-Square test examples

    Q2: Why is a test, which is testing significant differences among means called Analysis of Variance? Q3: Why might a non-parametric test be used, in place of the One-Way ANOVA F-test, for testing the difference among several population means?

  • Hypothesis testing problems : ANOVA

    The sample provides enough evidence to support the claim that there is significant difference in mean MPG among the different vehicle categories. Step by step method for computing test statistic for One way ANOVA is given in the answer.

  • SPSS Analysis

    You may do a related sample t test. You may draw confidence interval estimates, etc. (The Anova test and the related Tukey procedure / Levene's test count as one test, because it is an extension of the Anova test).

  • MANOVA: Box's Test; Levene's Test; variables' significance

    For this reason, in the output you will see the standard Levene's test of the assumption of equal variances for each dependent variable as this is an assumption of the ANOVA.

  • Statistical analysis in SPSS

    There is no significant difference in the measures of impulse control among Veterans and non-Veterans Student's t test is used to test this hypothesis. One important assumption of student t test is the homogeneity of variance.

  • DATA to DECISION - drug Xynamine, ANOVA

    This is a very effective and important tool, which is used for testing the variation among more than two groups, whereas for testing the significant difference between the two means, the t-test is the more appropriate tool.

  • ANOVA and MANOVA

    ANOVA is a statistical method that stands for analysis of variance. ANOVA was developed by Ronald Fisher in 1918 and is the extension of the t and the z test. Before the use of ANOVA, the t-test and z-test were commonly used.

View More Related Solutions