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Historia Peseta |
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Para n > 30 la variable |
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n |
a |
0.995 |
0.99 |
0.98 |
0.975 |
0.95 |
0.90 |
0.10 |
0.05 |
0.025 |
0.02 |
0.01 |
1 |
0,04393 |
0,03157 |
0,03628 |
0,03982 |
0,00393 |
0,0158 |
2,706 |
3,841 |
5,024 |
5,412 |
6,635 |
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2 |
0,0100 |
0,0201 |
0,0404 |
0,0506 |
0,103 |
0,211 |
4,605 |
5,991 |
7,378 |
7,824 |
9,210 |
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3 |
0,0717 |
0,115 |
0,185 |
0,216 |
0,352 |
0,584 |
6,251 |
7,815 |
9,348 |
9,837 |
11,345 |
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4 |
0,207 |
0,297 |
0,429 |
0,484 |
0,711 |
1,064 |
7,779 |
9,488 |
11,143 |
11,668 |
13,277 |
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5 |
0,412 |
0,554 |
0,752 |
0,831 |
1,145 |
1,610 |
9,236 |
11,070 |
12,832 |
13,388 |
15,086 |
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6 |
0,676 |
0,872 |
1,134 |
1,237 |
1,635 |
2,204 |
10,645 |
12,592 |
14,449 |
15,033 |
16,812 |
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7 |
0,989 |
1,239 |
1,564 |
1,690 |
2,167 |
2,833 |
12,017 |
14,067 |
16,013 |
16,622 |
18,475 |
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8 |
1,344 |
1,646 |
2,032 |
2,180 |
2,733 |
3,490 |
13,362 |
15,507 |
17,535 |
18,168 |
20,090 |
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9 |
1,735 |
2,088 |
2,532 |
2,700 |
3,325 |
4,168 |
14,684 |
16,919 |
19,023 |
19,679 |
21,666 |
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10 |
2,156 |
2,558 |
3,059 |
3,247 |
3,940 |
4,865 |
15,987 |
18,307 |
20,483 |
21,161 |
23,209 |
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11 |
2,603 |
3,053 |
3,609 |
3,816 |
4,575 |
5,578 |
17,275 |
19,675 |
21,920 |
22,618 |
24,725 |
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12 |
3,074 |
3,571 |
4,178 |
4,404 |
5,226 |
6,304 |
18,549 |
21,026 |
23,337 |
24,054 |
26,217 |
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13 |
3,565 |
4,107 |
4,765 |
5,009 |
5,892 |
7,042 |
19,812 |
22,362 |
24,736 |
25,472 |
27,688 |
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14 |
4,075 |
4,660 |
5,368 |
5,629 |
6,571 |
7,790 |
21,064 |
23,685 |
26,119 |
26,873 |
29,141 |
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15 |
4,601 |
5,229 |
5,985 |
6,262 |
7,261 |
8,547 |
22,307 |
24,996 |
27,488 |
28,259 |
30,578 |
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16 |
5,142 |
5,812 |
6,614 |
6,908 |
7,962 |
10,312 |
23,542 |
26,296 |
28,845 |
29,633 |
32,000 |
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17 |
5,697 |
6,408 |
7,255 |
7,564 |
8,672 |
10,085 |
24,769 |
27,587 |
30,191 |
30,995 |
33,409 |
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18 |
6,265 |
7,015 |
7,906 |
8,231 |
9,390 |
10,865 |
25,989 |
28,869 |
31,526 |
32,346 |
34,805 |
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19 |
6,844 |
7,633 |
8,567 |
8,907 |
10,117 |
11,651 |
27,204 |
30,144 |
32,852 |
33,687 |
36,191 |
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20 |
7,434 |
8,260 |
9,237 |
9,591 |
10,851 |
12,443 |
28,412 |
31,410 |
34,170 |
35,020 |
37,566 |
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21 |
8,034 |
8,897 |
9,915 |
10,283 |
11,591 |
13,240 |
29,615 |
32,671 |
35,479 |
36,343 |
38,932 |
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22 |
8,643 |
9,542 |
10,600 |
10,982 |
12,338 |
14,041 |
30,813 |
33,924 |
36,781 |
37,659 |
40,289 |
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23 |
9,260 |
10,196 |
11,293 |
11,668 |
13,091 |
14,848 |
32,007 |
35,172 |
38,076 |
38,968 |
41,638 |
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24 |
9,886 |
10,856 |
11,992 |
12,401 |
13,848 |
15,659 |
33,196 |
36,415 |
39,364 |
40,270 |
42,980 |
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25 |
10,520 |
11,524 |
12,697 |
13,120 |
14,611 |
16,473 |
34,382 |
37,652 |
40,646 |
41,566 |
44,314 |
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26 |
11,160 |
12,198 |
13,409 |
13,844 |
15,379 |
17,292 |
35,563 |
38,885 |
41,923 |
42,856 |
45,642 |
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27 |
11,808 |
12,879 |
14,125 |
14,573 |
16,151 |
18,114 |
36,741 |
40,113 |
43,194 |
44,140 |
46,963 |
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28 |
12,461 |
13,565 |
14,847 |
15,308 |
16,928 |
18,939 |
37,916 |
41,337 |
44,461 |
45,419 |
48,278 |
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29 |
13,121 |
14,256 |
15,574 |
16,407 |
17,708 |
19,768 |
39,087 |
42,557 |
45,722 |
46,693 |
49,588 |
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30 |
13,787 |
14,953 |
16,306 |
16,791 |
18,493 |
20,599 |
40,256 |
43,773 |
46,979 |
47,962 |
50,892 |
Distribución c 2 de Pearson |
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Sean n variables aleatorias N(0, 1) independientes entre sí |
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recibe el nombre de c 2 (chi-cuadrado) de Pearson con 'n' grados de libertad. Su función de densidad es: |
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en donde, para p > 0, se define la función Gamma: |
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con lo cual, |
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PREMIO NOBEL DE ECONOMÍA (1969-2016) |
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Portal Fuenterrebollo: Estadística Aplicada Negocios, Medicina e Investigación |