How to calculate StdErr for intercepts and slopes in a multivariate ANCOVA (function ANOVAN() with continuous independent variable)?
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I am trying to do multivariate analysis of covariance (mANCOVA) with Matlab. There is a special GUI for it called aoctool(), but it works only for one categorial independent variable (CIV) and one covariate. So if I have two CIVs and/or two covariates, I need something else.
Fortunately, anovan() tool, initially made for n-way ANOVA, could deal with continuos independent variables. So it is possible to perform mANCOVA using this tool and it really works! One can make and tests hypothesis on variance of slopes and treatments, but to provide a comperehensive analysis one needs to compare individual models (slopes or intercepts) to find differenes between them. But stats structure in anovan() outputs contains only values of model coefficients (stats.coeffs) but not their StdErr, SSE etc. So one can not test hypothesis on equality of two slopes (using t-test). Strictly speaking, there are no multcompare() for slopes in mANCOVA.
Can somebody give me an advice (or just any help), how I can borrow data on slopes StdErr or SSE from anovan() with continuous independent variable?
Jeff Miller on 5 Jan 2022
If you set up dummy variables to code your categorical independent variables, you can then do analysis of covariance with fitlm. The advance of that is that you can then use regression techniques to get standard errors and confidence intervals for the model coefficients. Maybe there is an easier way, though.