Untitled Flashcards Set

What is the usage of a t-test?

To compare means of two independent samples.

What is the model form of a t-test?

Yij = μ + αi + ϵij

What type of plot is used for exploratory data analysis (EDA) in a t-test?

Box plot.

What is the null hypothesis for a t-test?

μ1 = μ2

What conclusion can be drawn if there is a significant difference in a t-test?

There is a significant difference in the mean [response] between [group 1] and [group 2].

What is the usage of a paired t-test?

To compare means of paired samples (same subjects measured at different times).

What is the null hypothesis for a paired t-test?

μ1 = μ2 or the true mean difference D = 0.

What is the exploratory data analysis technique used for a paired t-test?

Profile of how each observation changes over time.

What is the model form for a one-way ANOVA?

Yi = μ + αi + ϵi

What is the null hypothesis for a one-way ANOVA?

α1 = α2 = ... = αk = 0 or μ1 = μ2 = ... = μk.

What follow-up procedures are used if the F-test is significant in a one-way ANOVA?

Use Tukey or Dunnett multiple comparisons.

What is the usage of a two-way ANOVA?

When the model has two factors of interest.

What is the model form for a two-way ANOVA?

Yij = μ + αi + βj + αβij + ϵij

What is the null hypothesis for a two-way ANOVA?

α1 = α2 = ... = αk = 0 and β1 = β2 = ... = βk = 0.

In a blocked ANOVA, what is the purpose of the blocking factor?

To account for a confounding factor with a known effect.

What is the usage of repeated measures ANOVA?

For within-subjects factors or multiple measurements per experimental unit.

What is the model form for simple linear regression?

Y = β0 + β1X1 + ϵ

What is the null hypothesis for simple linear regression?

β1 = 0.

What is the exploratory data analysis technique used in simple linear regression?

Scatterplot.

What conclusion is typically drawn in multiple linear regression?

[Response] increases by [b1] units for every one-unit increase in X1, holding other variables constant.