I wish to compare the effetcs of cold water immersion and tepid water immersion for muscle strength, muscle size, pain and tenderness and Jump height against the baseline measures I.E. their normal levels. I'm stuck on what test to use i think i need to use a 2 way ANOVA with repeated measures?
Two way ANOVA is good how ever you can use another multivariate methods such as the cluster, principle component, discrimination or partial least square.
You may also review the attached file
Yes the most common method would be ANOVA and you easily can use MINITAB or SPSS to evaluate your data.
Could you please give us some more details? Are you sure that you have two factors? Do you have more than one level in the case of cold water immersion (CWI) and tepid water immersion (TWI)? e.g. CWI level 1 (8°), CWI level 2 (12°), CWI level control (some control T°), TWI level 1 (25°) and CWI level 2 (30°), TWI level control (some control T°). If you have something like this, then you have two factors, and you can apply a 2-way ANOVA. But if not so, you probably have one factor with three levels. Something like: CWI (whatever the T° is), TWI (whatever the T° is) and Control (whatever the T° is). In this case, you need to apply 1-way ANOVA. Did you implement the treatments to the same subjects several times over time? If so, you need treat subjects as a random effect.
Here there is a good tutorial to start:
http://ww2.coastal.edu/kingw/statistics/R-tutorials/repeated.html
Alternatively, you can try with Mixed Effect Modelling:
https://freshbiostats.wordpress.com/2013/07/28/mixed-models-in-r-lme4-nlme-both/
Good luck
P.S. According to the brief description that has been given, I don't think that multivariate methods are suitable here.
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