Temp Site Bleached Year 20 A Y 2001 25 A Y 2004 20 A Y 2008 25 A Y 2011 32 A N 2001 35 A N 2004 32 A N 2008 35 A N 2011 46 B Y 2001 23 B Y 2004 46 B Y 2008 23 B Y 2011 23 B N 2001 43 B N 2004 23 B N 2008 43 B N 2011 33 C Y 2001 23 C Y 2004 33 C Y 2008 23 C Y 2011 32 C N 2001 37 C N 2004 32 C N 2008 37 C N 2011
I have made 3 line graphs of temperature across time where the mean temperature at each time for bleached / unbleached is plotted. I'd like to compare if the plots are significantly different in how much they vary within themselves. So for example, one graph has massive peaks and troughs, another is relatively stable. I'd like to analyse this statistically to say they are significantly different so I would think that as I'm analysing the variance in these data, an ANOVA should be used?
Could I use a two-way ANOVA for this, if normality is assumed?
I am using the following formula to input it into R, but I'm not worried about the R side of it. I know the formula looks at the interaction:
Site 1 ~ Site 2 * Site 3
But if I ignore that and just look at main effects, will a two-way ANOVA be appropriate or is there a better way to just look at differences minus interactions?
I missed quite an important edit the first time. I just want to compare how much each site varies within itself over time. I am looking at how variable temperature has an impact on predictability of bleaching / non-bleaching corals. Therefore I need to see if the variability is significant between the sites to make conclusions regarding the bleaching status.