Diff for "FAQ/matalg" - CBU statistics Wiki
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Revision 2 as of 2010-03-10 12:35:55
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Editor: PeterWatson
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 = Matrix algebra derivation of Sums of Squares =
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 = Matrix algebra derivation of Ssums of Squares = ||<tablewidth="52%<"17%> ||||<45%> ||
||<17%>$$Ztext^{T}$$ = ||<38%> 1,...,1||<45%> $$z_text{1}, … ,z_text{N}$$||
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||<tablewidth="52%"17%> ||||<45%> ||
||<17%>$$Z\text^{T}$$ = ||<38%> 1,...,1||<45%> $$z_text{1}, … ,z_text{N}$$||

||<tablewidth="52%
"17%> ||<38%> ||<45%> ||
||<17%>$$Z\text^{T}Z =$$ ||<38%> N||<45%> $$\sum_text{i}z_text{i}$$ ||
||<tablewidth="52%<"17%> ||<38%> ||<45%> ||
||<17%>$$Ztext^{T}Z =$$ ||<38%> N||<45%> $$\sum_text{i}z_text{i}$$ ||
  • = Matrix algebra derivation of Sums of Squares =

$$Ztext^{T}$$ =

1,...,1

$$z_text{1}, … ,z_text{N}$$

$$Ztext^{T}Z =$$

N

$$\sum_text{i}z_text{i}$$

$$\sum_text{i}z_text{i}$$

$$\sum_text{i}z_text{i}^text{2}$$

None: FAQ/matalg (last edited 2013-03-08 10:17:15 by localhost)