Question

One-Way ANOVA – CALCULATIONS IN VASSARSTATS.NET

A statistics instructor who does lectures, class activities and assigns homework assignments, wonders if it is necessary for students to complete the entire homework assignment until it is correct for them to learn the material or whether just working on the homework is sufficient (or even needed). She randomly assigns students to one of three groups: a “no homework” group, a “must answer each question” group, and a “must get all questions correct” group (5 students per group). She then examines their next test scores for number of errors and analyzes the data with α = .05.

DATA

No Homework	Must Answer	Must be Correct
24	22	22
26	24	18
30	26	20
26	24	18
24	20	22

The scale of measurement for the independent variable is ___________.

Select from Nominal, Ordinal, Interval, Ratio

The scale of measurement for the Dependent Variable is ___________.

Select from Nominal, Ordinal, Interval, Ratio

Are the results of this study statistically significant? _________

How would you write the results in a writeup? _______________________________

Show how the results are likely to be graphed

Answer 1

The scale of measurement for the independent variable is Nominal.( 3 groups made by teacher)
The scale of measurement for the Dependent Variable is Ratio (No. of errors in the test)
Are the results of this study statistically significant? Yes

Hypothesis
HO: The mean error for the 3 groups of the students is the same.
H1 : At least of the groups has the mean errors different from the other groups.

We see that value is less than 0.05, hence we reject the null hypothesis.
We conclude that there is sufficient evidence to claim that the mean errors differ across the 3 groups.

The detailed working is shown below.