cross_B
\(\chi^2 = \sum \frac{(f_{i,j}-f_{i,j}^{*})^2}{f_{i,j}^{*}}\ \ \ f_{i,j}^{*}=\frac{f_{*,j}\cdot f_{i,*}}{N}\)
\(C^2=\frac{\chi^2}{N\min(r-1,c-1)}\)
1. feladat
Számoljuk ki a Cramer együtthatót!
| f | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 9 | 6 | 6 |
| Montreal,Can | 5 | 7 | 4 |
| MontPellier,VT | 10 | 3 | 6 |
1. eredmények
Számoljuk ki a Cramer együtthatót!
| f | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 9 | 6 | 6 |
| Montreal,Can | 5 | 7 | 4 |
| MontPellier,VT | 10 | 3 | 6 |
| sums | Toronto Blue Jays | Boston Red Socks | New York Yankees | sum |
|---|---|---|---|---|
| Boston,MA | 9 | 6 | 6 | 21 |
| Montreal,Can | 5 | 7 | 4 | 16 |
| MontPellier,VT | 10 | 3 | 6 | 19 |
| sum | 24 | 16 | 16 | 56 |
| \(f^{*}\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 9.0 | 6.0 | 6.0 |
| Montreal,Can | 6.8571 | 4.5714 | 4.5714 |
| MontPellier,VT | 8.1429 | 5.4286 | 5.4286 |
| \((f-f^{*})^2\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 0.0 | 0.0 | 0.0 |
| Montreal,Can | 3.4488 | 5.8981 | 0.3265 |
| MontPellier,VT | 3.4488 | 5.8981 | 0.3265 |
| \(\frac{(f-f^{*})^2}{f^{*}}\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 0.0 | 0.0 | 0.0 |
| Montreal,Can | 0.503 | 1.2902 | 0.0714 |
| MontPellier,VT | 0.4235 | 1.0865 | 0.0601 |
| \(\chi^2\) | C |
|---|---|
| 3.4347 | 0.1751 |
2. feladat
Számoljuk ki a Cramer együtthatót!
| f | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 10 | 9 | 6 |
| Montreal,Can | 10 | 8 | 9 |
| MontPellier,VT | 7 | 11 | 8 |
2. eredmények
Számoljuk ki a Cramer együtthatót!
| f | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 10 | 9 | 6 |
| Montreal,Can | 10 | 8 | 9 |
| MontPellier,VT | 7 | 11 | 8 |
| sums | Toronto Blue Jays | Boston Red Socks | New York Yankees | sum |
|---|---|---|---|---|
| Boston,MA | 10 | 9 | 6 | 25 |
| Montreal,Can | 10 | 8 | 9 | 27 |
| MontPellier,VT | 7 | 11 | 8 | 26 |
| sum | 27 | 28 | 23 | 78 |
| \(f^{*}\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 8.6538 | 8.9744 | 7.3718 |
| Montreal,Can | 9.3462 | 9.6923 | 7.9615 |
| MontPellier,VT | 9.0 | 9.3333 | 7.6667 |
| \((f-f^{*})^2\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 1.8123 | 0.0007 | 1.8818 |
| Montreal,Can | 0.4275 | 2.8639 | 1.0785 |
| MontPellier,VT | 4.0 | 2.7779 | 0.1111 |
| \(\frac{(f-f^{*})^2}{f^{*}}\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 0.2094 | 0.0001 | 0.2553 |
| Montreal,Can | 0.0457 | 0.2955 | 0.1355 |
| MontPellier,VT | 0.4444 | 0.2976 | 0.0145 |
| \(\chi^2\) | C |
|---|---|
| 1.698 | 0.1043 |
3. feladat
Számoljuk ki a Cramer együtthatót!
| f | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 5 | 9 | 5 |
| Montreal,Can | 7 | 7 | 6 |
| MontPellier,VT | 9 | 4 | 5 |
3. eredmények
Számoljuk ki a Cramer együtthatót!
| f | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 5 | 9 | 5 |
| Montreal,Can | 7 | 7 | 6 |
| MontPellier,VT | 9 | 4 | 5 |
| sums | Toronto Blue Jays | Boston Red Socks | New York Yankees | sum |
|---|---|---|---|---|
| Boston,MA | 5 | 9 | 5 | 19 |
| Montreal,Can | 7 | 7 | 6 | 20 |
| MontPellier,VT | 9 | 4 | 5 | 18 |
| sum | 21 | 20 | 16 | 57 |
| \(f^{*}\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 7.0 | 6.6667 | 5.3333 |
| Montreal,Can | 7.3684 | 7.0175 | 5.614 |
| MontPellier,VT | 6.6316 | 6.3158 | 5.0526 |
| \((f-f^{*})^2\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 4.0 | 5.4443 | 0.1111 |
| Montreal,Can | 0.1357 | 0.0003 | 0.149 |
| MontPellier,VT | 5.6093 | 5.3629 | 0.0028 |
| \(\frac{(f-f^{*})^2}{f^{*}}\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 0.5714 | 0.8166 | 0.0208 |
| Montreal,Can | 0.0184 | 0.0 | 0.0265 |
| MontPellier,VT | 0.8458 | 0.8491 | 0.0006 |
| \(\chi^2\) | C |
|---|---|
| 3.1492 | 0.1662 |
4. feladat
Számoljuk ki a Cramer együtthatót!
| f | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 7 | 4 | 6 |
| Montreal,Can | 6 | 5 | 4 |
| MontPellier,VT | 4 | 5 | 4 |
4. eredmények
Számoljuk ki a Cramer együtthatót!
| f | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 7 | 4 | 6 |
| Montreal,Can | 6 | 5 | 4 |
| MontPellier,VT | 4 | 5 | 4 |
| sums | Toronto Blue Jays | Boston Red Socks | New York Yankees | sum |
|---|---|---|---|---|
| Boston,MA | 7 | 4 | 6 | 17 |
| Montreal,Can | 6 | 5 | 4 | 15 |
| MontPellier,VT | 4 | 5 | 4 | 13 |
| sum | 17 | 14 | 14 | 45 |
| \(f^{*}\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 6.4222 | 5.2889 | 5.2889 |
| Montreal,Can | 5.6667 | 4.6667 | 4.6667 |
| MontPellier,VT | 4.9111 | 4.0444 | 4.0444 |
| \((f-f^{*})^2\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 0.3339 | 1.6613 | 0.5057 |
| Montreal,Can | 0.1111 | 0.1111 | 0.4445 |
| MontPellier,VT | 0.8301 | 0.9132 | 0.002 |
| \(\frac{(f-f^{*})^2}{f^{*}}\) | Toronto Blue Jays | Boston Red Socks | New York Yankees |
|---|---|---|---|
| Boston,MA | 0.052 | 0.3141 | 0.0956 |
| Montreal,Can | 0.0196 | 0.0238 | 0.0952 |
| MontPellier,VT | 0.169 | 0.2258 | 0.0005 |
| \(\chi^2\) | C |
|---|---|
| 0.9956 | 0.1052 |