Alternative Equation Formats

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MathML

SSCP = [ n ∑ X ∑ Y ∑ X ∑ X 2 ∑ X Y ∑ Y ∑ X Y ∑ Y 2 ] CSSCP = [ ∑ ( X − X ¯ ) 2 ∑ ( X − X ¯ ) ( Y − Y ¯ ) ∑ ( X − X ¯ ) ( Y − Y ¯ ) ∑ ( Y − Y ¯ ) 2 ] COV = CSSCP n − 1 = 1 n − 1 [ ∑ ( X − X ¯ ) 2 ∑ ( X − X ¯ ) ( Y − Y ¯ ) ∑ ( X − X ¯ ) ( Y − Y ¯ ) ∑ ( Y − Y ¯ ) 2 ] UCOV = 1 n [ ∑ X 2 ∑ X Y ∑ X Y ∑ Y 2 ] CORR = [ 1 ∑ ( X − X ¯ ) ( Y − Y ¯ ) ∑ ( X − X ¯ ) 2 ∑ ( Y − Y ¯ ) 2 ∑ ( X − X ¯ ) ( Y − Y ¯ ) ∑ ( X − X ¯ ) 2 ∑ ( Y − Y ¯ ) 2 1 ] UCORR = [ 1 ∑ X Y ∑ X 2 ∑ Y 2 ∑ X Y ∑ X 2 ∑ Y 2 1 ]

Math Rendered as SVG

Math as LaTeX Source

\begin{eqnarray*} \mbox{SSCP} & =& \left[\begin{array}{ccc} n & \sum X & \sum Y \\ \sum X & \sum X^2 & \sum XY \\ \sum Y & \sum XY & \sum Y^2 \\ \end{array}\right] \\[.2in] \mbox{CSSCP} & =& \left[\begin{array}{cc} \sum (X-\bar{X})^2 & \sum (X-\bar{X})(Y-\bar{Y})\\ \sum (X-\bar{X})(Y-\bar{Y}) & \sum (Y-\bar{Y})^2 \\ \end{array}\right] \\[.2in] \mbox{COV} & =& \frac{\mbox{CSSCP}}{n-1}= \frac{\displaystyle 1}{\displaystyle n-1}\left[\begin{array}{cc} \sum (X-\bar{X})^2 & \sum (X-\bar{X})(Y-\bar{Y})\\ \sum (X-\bar{X})(Y-\bar{Y}) & \sum (Y-\bar{Y})^2 \\ \end{array}\right] \\[.2in] \mbox{UCOV} & =& \frac{\displaystyle 1}{\displaystyle n}\left[\begin{array}{cc} \sum X^2 & \sum XY\\ \sum XY & \sum Y^2 \\ \end{array}\right] \\[.2in] \mbox{CORR} & =& \left[\begin{array}{cc} 1 & \frac{\displaystyle \sum (X-\bar{X})(Y-\bar{Y})}{\displaystyle \sqrt{\sum (X-\bar{X})^2\sum (Y-\bar{Y})^2}} \\ \frac{\displaystyle \sum (X-\bar{X})(Y-\bar{Y})}{\sqrt{\displaystyle \sum (X-\bar{X})^2\sum (Y-\bar{Y})^2}} & 1 \\ \end{array}\right] \\[.2in] \mbox{UCORR} & =& \left[\begin{array}{cc} 1 & \frac{\displaystyle \sum XY}{\displaystyle \sqrt{\sum X^2\sum Y^2}} \\ \frac{\displaystyle \sum XY}{\displaystyle \sqrt{\sum X^2\sum Y^2}} & 1 \\ \end{array}\right] \\ \end{eqnarray*}
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