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19
votes
Effect of switching response and explanatory variable in simple linear regression
Just a brief note on why you see the slope smaller for one regression. Both slopes depend on three numbers: standard deviations of $x$ and $y$ ($s_{x}$ and $s_{y}$), and correlation between $x$ and $ …
- 25.3k
6
votes
Why square the difference instead of taking the absolute value in standard deviation?
It depends on what you are talking about when you say "spread of the data". To me this could mean two things:
The width of a sampling distribution
The accuracy of a given estimate
For point 1) th …
- 25.3k
118
votes
Making sense of principal component analysis, eigenvectors & eigenvalues
I'd answer in "layman's terms" by saying that PCA aims to fit straight lines to the data points (everyone knows what a straight line is). We call these straight lines "principal components". There a …
- 25.3k
12
votes
ANOVA assumption normality/normal distribution of residuals
Standard Classical one-way ANOVA can be viewed as an extension to the classical "2-sample T-test" to an "n-sample T-test". This can be seen from comparing a one-way ANOVA with only two groups to the …
- 25.3k