(42S) (DM42) CHI²Test for the statistical independence of two classified variables.

02092020, 03:10 PM
(This post was last modified: 02092020 03:20 PM by rawi.)
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(42S) (DM42) CHI²Test for the statistical independence of two classified variables.
Program CHIT (uses program “CHIX” for integration of CHI²distribution).
Input: Matrix of absolute frequencies (has to be in Xregister) Output: Zregister: Degrees of freedom for CHI² distributuion Yregister: CHI² value Xregister: Confidence level of test Matrix of absolute frequencies: FTR Matrix of absolute frequencies in case of independence: FTI Example: (Werner Voß (editor): Taschenbuch der Statistik, Leipzig 2000, p. 449f): 1000 people were asked what party they would vote for. The absolute frequencies were as follows: Party female male SPD 200 170 CDU/CSU 200 200 Grüne 45 35 FDP 25 35 PDS 20 30 Other 30 10 Result: Z: 5 (degrees of freedom) Y: 15.7743 (CHI²value) X: 0.9925 (The hypothesis of the independence of party an gender can be rejected with a confidence level of 99,25%) Matrix FTI: 192.4 177.6 208 192 41.6 38.4 31.2 28.8 26 24 20.8 19.2 Note: All elements of the matrix FTI should be > 5. Otherwise the approximative use of the CHI² distribution is not valid. Enjoy Raimund Wildner { 109  Byte Prgm } LBL “CHIT” STO “FTR” RSUM RCL “FTR” TRANS RSUM TRANS ENTER RSUM DET STO 03 R↓ * RCL 03 ./. ENTER ENTER STO “FTI” RCL”FTR”  X↑2 X<>Y 1/X DOT STO 01 RCL “FTR” DIM? 1  X<>Y 1  * STO 03 PGMINT “CHIX” 0 STO “LLIM” RCL 01 STO “ULIM” .0001 STO “ACC” INTEG “X” STO 02 RCL 03 RCL 01 RCL 02 END { 47  Byte PRGM } LBL “CHIX” MVAR “X” RCL ”X” RCL 03 2 ./. 1  Y↑X RCL “X” +/ 2 ./. E↑X * 2 RCL 03 2 ./. Y↑X ./. RCL 03 2 ./. GAMMA ./. RTN END 

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