Statistical Concepts in ANOVA

Vocabulary flashcards covering key statistical concepts related to ANOVA.

Post Hoc Pairwise Comparisons

Follow-up tests conducted after an ANOVA to identify which pairs of group means differ significantly.

Dependent Variable

The outcome, response, or effect measured in a study to determine influence by changes in another variable.

Critical Value

The value of a test statistic that defines the threshold separating the rejection and acceptance regions.

Standard Error of the Mean

A measure of dispersion for a sampling distribution, calculated by dividing the standard deviation by the square root of the sample size.

Null Hypothesis

A formal statement claiming there is no effect, difference, or relationship between variables.

Replication (ANOVA)

Having more than one observation for each combination of the two factors' levels in a two-factor ANOVA.

Replication (General)

Repeating a study to determine if original findings can be confirmed under similar conditions.

Confidence Level

The probability that a test fails to reject a true null hypothesis; level of certainty of decision correctness.

Population

The entire group of individuals or data that share characteristics of interest for research conclusions.

One-Tailed Test

A hypothesis test where the rejection region is in one tail, predicting the effect's direction.

Two-Tailed Test

A test where the alternative hypothesis predicts the population mean is different from a hypothesized value, without direction.

Alpha Level

The threshold probability used to decide whether to reject a null hypothesis; maximum risk of a Type I error.

Type I Error (False Positive)

Occurs when a test incorrectly indicates an effect or condition that does not exist.

Type II Error (False Negative)

Occurs when a test fails to reject the null hypothesis when the alternative is true.

P-Value

The probability of obtaining a test statistic as extreme as, or more extreme than, the observed one, assuming the null hypothesis is true.

Pairwise Alpha

The significance level for each individual comparison in post hoc tests.

Power

The ability of a test to correctly reject a false null hypothesis.

Rejection Region

The portion of a distribution beyond the critical values that leads to rejecting the null hypothesis.

Repeated Measures

A two-factor ANOVA design where the same subjects are observed under multiple conditions.

Hypothesized Mean Difference

The value in the null hypothesis specified as the difference between two population means.

Test Statistic

A value from sample data used to decide about the null hypothesis.

Factor or Block

An independent variable in ANOVA typically divided into three or more categories.

Level or Treatment

A specific category of an independent variable being tested in a one-factor ANOVA.

Significant

The result indicating sufficient evidence to reject the null hypothesis.

Alternative Hypothesis

A statement suggesting a real effect, difference, or relationship exists, contrary to the null hypothesis.

Decision Rule

A formal guideline that specifies when the null hypothesis should be rejected based on sample data.