Unlocking the Secrets of One-Way ANOVA

Lab 9: One-Way ANOVA

Kendria Shields-Rhodes

Introduction to One-Way ANOVA

• One-Way ANOVA is a statistical test used to compare means of three or more groups.

  • It determines if there is a significant difference between the groups.

Multiple Choice

What is the purpose of One-Way ANOVA?

• To compare means of three or more groups

• To determine the total variance

• To assess the significance of the differences

• To analyze between-group and within-group variances

Assumptions of One-Way ANOVA

• Independence: Observations are independent of each other.

• Normality: Residuals are normally distributed.

• Homogeneity of Variance: Variances are equal across groups.

Multiple Choice

Which assumption is NOT required for One-Way ANOVA?

• Independence

• Normality

• Homogeneity of Variance

• Equal sample sizes

One-Way ANOVA

Trivia: One assumption NOT required for One-Way ANOVA is Equal sample sizes. It only requires Independence, Normality, and Homogeneity of Variance.

Unlocking One-Way ANOVA

• Hypothesis Testing: Explore the differences between multiple groups

  • Null (No difference) vs. Alternative (At least one group differs)

• One-Way ANOVA: Determine if means of groups are significantly different

• Assumptions: Normality, Homogeneity of Variance, Independence

• Interpretation: F-statistic, p-value, Post-hoc tests

Homogeneity of Variance

• If HOV is greater than .05 (non-significant), then the assumption of homogeneity of variance is met. Therefore, it is assumed that the sample sizes have equal variances.

• If HOV is less than .05 (significant), then the assumption is not met. There are not equal variances between the sample sizes.

Multiple Select

The p-value for HOV is .067, what does this mean? (Select all that apply)

• The sample sizes do not have equal variances.

• The assumption of HOV is met.

• The sample sizes have equal variances.

• The assumption of HOV is not met.

Post Hoc Tests: Tukey and Dunnett's T3

• Tukey and Dunnett's 3 are Post-Hoc tests that are used when the ANOVA test is significant (p < .05).

• Tukey is used when HOV is non-significant (p > .05)

• Dunnett's is used when HOV is significant (p < .05)

Multiple Choice

Which Post-Hoc test should we use to comapre group means if HOV's p-value = .635?

• Tukey

• Dunnett

• We shouldn't use a Post-Hoc test

• One-Way Anova

Multiple Choice

A researcher is interested in the relation between students' relationship status and their college GPA.

What is the independent variable (IV) for this research question?

• GPA

• The ANOVA

• Relationship Status

• Single, married, coupled

Multiple Choice

A researcher is interested in whether pet ownership (Pet Status) is related to Emotional Intelligence scores (TotalEI).

What is the dependent variable?

• Pet ownership

• Emotional Intelligence scores

Multiple Choice

A researcher is interested in comparing different ethnic groups on the number of hours worked each week (WorkHours).

What is the Independent Variable (IV)?

• Hours worked

• Age

• Ethnic groups

Multiple Choice

How much of the variance in job involvement is attributable to marital status?

• .80%

• .08%

Open Ended

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