File:Critical correlation vs. sample size.svg

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Summary

Description
English: Critical values of Pearson's correlation coefficient that must be exceeded to be considered significantly nonzero at the 0.05 level.
Date
Source Own work
Author Muhali
SVG development
InfoField
 
The SVG code is valid.
V
 
This vector image was created with GNU Octave.

Matlab

alpha = 0.05 ;
n = 0:250 ;
rc = cor_crit(n, alpha) ;
plot(n, rc) ;
grid on ;
xlabel('sample size') ;
ylabel('critical correlation') ;
legend({'1-tailed' '2-tailed'}, 'box', 'off', 'location', 'northeast') ;
text(110, 0.9, '{\alpha = 0.05}') ;
print -dsvg cor_crit.svg

%% usage: rc = cor_crit (n, alpha)
%%
%% critical correlation values from sample size
function rc = cor_crit (n, alpha)

   df = n - 2 ;
   tc(1,:) = tinv(1-alpha, df) ;
   tc(2,:) = tinv(1-alpha/2, df) ;

   rc = tc ./ sqrt(df + tc.^2) ;

end

Source code
InfoField

SVG code

alpha = 0.05 ;
n = 0:250 ;
rc = cor_crit(n, alpha) ;
plot(n, rc) ;
grid on ;
xlabel('sample size') ;
ylabel('critical correlation') ;
legend({'1-tailed' '2-tailed'}, 'box', 'off', 'location', 'northeast') ;
text(110, 0.9, '{\alpha = 0.05}') ;
print -dsvg cor_crit.svg

%% usage: rc = cor_crit (n, alpha)
%%
%% critical correlation values from sample size
function rc = cor_crit (n, alpha)

   df = n - 2 ;
   tc(1,:) = tinv(1-alpha, df) ;
   tc(2,:) = tinv(1-alpha/2, df) ;

   rc = tc ./ sqrt(df + tc.^2) ;

end

Licensing

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depicts

6 June 2018

image/svg+xml

3ef96a9e0d6d091a24a01cd102d4fe5ec5e8decd

20,421 byte

405 pixel

723 pixel

File history

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Date/TimeThumbnailDimensionsUserComment
current22:43, 14 January 2024Thumbnail for version as of 22:43, 14 January 2024723 × 405 (20 KB)wikimediacommons>Olexa RiznykReverted to version as of 09:27, 23 July 2021 (UTC): https://svgtranslate.toolforge.org/ corrupts it

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