Help with a textbook analysis

JonazM

Hi there! new to this forum.

I am learning how to use JASP with some book examples from William's book called Statistics in Kinesiology. In the 4th edition of his book, he has an example of factorial within-within ANOVA and he has the following data:

He says that this table should be use to run the analysis on computer software. I have two questions:

1. Is can this be considered a Two-way repeated measures ANOVA? I have seen people running that type of analysis with different example data.
2. Is the ANOVA table results from the book wrong? Here is the table:

This is what I get from JASP output if I run a repeated measures ANOVA with two factors:

Btw, the study is supposed to have two groups (treadmill and stairs) and measure heart rate at different stages (stage 1 - 4). The goal is to assess whether treadmill and stairs mode are have different heart rate values across the stages, whether the stages are significant across both modes, and the interaction effects.

patc3

Where can we access the data? I wanna see for myself.. Or perhaps you can show your JASP input? To rule out user error (as I don't think the book got it wrong, and I would find it unfortunate if JASP was wrong)

JonazM

Hi patc3,

The data is the first table (Table 14.9) I shared with you all. Here's a screenshot of how I set it up in JASP:

Here's the way I set it up in the repeated measures ANOVA:

It does not how everything, but I created two factor levels, one is the mode (treadmill and stairs) and the second one is the stages (going from 1 - 4). I am using repeated measures because it is supposed to be a within-within factorial analysis and I couldn't find any reference on the internet that uses a different format of the ANOVA analysis.

JohnnyB

Hi @JonazM,

I checked the book, and the table's caption indicates that it only presents incomplete data - the full data is based on 13 participants and not 4, so I don't think you can recreate the analysis results in JASP since we don't have the full data set. An indication for this is seen in the ANOVA table, where the df's differ (the error df's are influenced by the sample size).

Kind regards,

Johnny

JonazM

Hi @JohnnyB

Thanks for your feedback. I also noticed the df's error was not the same and I should have added that little bit of information about what the textbook says. With that aside, am I using JASP correctly to run a Factorial within-whith ANOVA? I am new with JASP and somewhat new with running stats with a computer software, so I want to make sure that I am correct to think that:

Factorial within-whtin ANOVA = Repeated measures ANOVA with more than 1 factor (two-way ANOVA).

Your feedback on this last comment should allow me to move on. I appreciate you taking the time to provide the input.

JohnnyB

Hi @JonazM,

Yes, that's correct! I dont think this "within-within" is a common way of phrasing it - I would just call it a two-way (or however many predictor variables you have) RM ANOVA, or more generally a factorial RM ANOVA. In the case of having both within and between subjects predictors, I would call it a mixed ANOVA.

Kind regards,

Johnny