A researcher tests the effect of environmental condition on task performance. She uses a between subjects design and has participants complete a series of math problems under different temperatures (cold, warm, hot) and noise conditions (quiet, noisy). The number of correct problems for each participant is recorded. The most appropriate test to analyze the data would be a(n) _______

For any test using the F-distribution, a "F Test" is a capture-all word. In certain circumstances, as individuals speak about the F-Test, it is the F-Test to compare two variances that they actually talk about.

Moreover, in a multitude of tests, the f-statistics is used such as regression analysis, the Chow test and the Scheffe test (a post-hoc ANOVA test).

One should be using Excel, SPSS, Minitab or some other form of software to run the experiment if you are running a F test.

Steps include.

State the hypothesis of nullity and the counter hypothesis.
Determine the value of F. The F value is determined using equation F = (SSE1 – SSE2/m)/SSE2/n-k, where SSE = square residual, m = number of constraints, and k = number of independent variables.
Find the statistics for F (the critical value for the test). The F statistical formula is: F Statistics = group mean / mean variance of variances within the group.
The F Statistics can be found in the F-Table.
The Null Hypothesis is accepted or denied.