The formula: $[\text{Sum of } (Observed - Expected)^2 / Expected]$ is also known as
सूत्र: $[\sum \frac{(Observed - Expected)^2}{Expected}]$ को किस रूप में भी जाना जाता है?
Chi-Square Test:
- Developed by Karl Pearson in 1900, the chi-square statistic tests the 'goodness of fit' between observed frequencies ($O$) and expected frequencies ($E$) based on a specific genetic hypothesis (e.g., Mendelian segregation ratios 3:1, 9:3:3:1).
- The formula is expressed mathematically as:
where $O$ = Observed value, and $E$ = Expected value.
- F-test compares two population variances (ratio of two variances: $S_1^2 / S_2^2$).
- t-test compares the means of two groups.
Correct Answer: Option 2 (Chi-square statistic).
विस्तृत व्याख्या:
Chi-Square Test (काई-वर्ग परीक्षण - $\chi^2$):
- Developed by Karl Pearson in 1900, the chi-square statistic tests the 'goodness of fit' between observed frequencies ($O$) and expected frequencies ($E$) based on a specific genetic hypothesis (e.g., Mendelian segregation ratios 3:1, 9:3:3:1).
- The formula is expressed mathematically as:
where $O$ = Observed value, and $E$ = Expected value.
- F-test compares two population variances (ratio of two variances: $S_1^2 / S_2^2$).
- t-test compares the means of two groups.
Correct Answer: Option 2 (Chi-square statistic).
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