For a two-tailed test with α = .05, use the table of critical values of r (available at the end of this question) to determine how large a Pearson correlation is necessary to be statistically significant for each of the following samples. A sample of n = 6: A sample of n = 12: A sample of n = 24: Critical Values
For a two-tailed test with α = .05, use the table of critical values of r (available at the end of this question) to determine how large a Pearson correlation is necessary to be statistically significant for each of the following samples. A sample of n = 6: A sample of n = 12: A sample of n = 24: Critical Values
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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10. Gravetter/Wallnau/Forzano, Essentials - Chapter 14 - End-of-chapter question 10
For a two-tailed test with α = .05, use the table of critical values of r (available at the end of this question) to determine how large a Pearson correlation is necessary to be statistically significant for each of the following samples.
A sample of n = 6:
A sample of n = 12:
A sample of n = 24:
Critical Values of the Pearson Correlation Coefficient :
df = n – 2
|
Level of Significance for One-Tailed Test
|
|||
---|---|---|---|---|
.05
|
.025
|
.01
|
.005
|
|
Level of Significance for Two-Tailed Test
|
||||
.10
|
.05
|
.02
|
.01
|
|
1 | .988 | .997 | .9995 | .9999 |
2 | .900 | .950 | .980 | .990 |
3 | .805 | .878 | .934 | .959 |
4 | .729 | .811 | .882 | .917 |
5 | .669 | .754 | .833 | .874 |
6 | .622 | .707 | .789 | .834 |
7 | .582 | .666 | .750 | .798 |
8 | .549 | .632 | .716 | .765 |
9 | .521 | .602 | .685 | .735 |
10 | .497 | .576 | .658 | .708 |
11 | .476 | .553 | .634 | .684 |
12 | .458 | .532 | .612 | .661 |
13 | .441 | .514 | .592 | .641 |
14 | .426 | .497 | .574 | .623 |
15 | .412 | .482 | .558 | .606 |
16 | .400 | .468 | .542 | .590 |
17 | .389 | .456 | .528 | .575 |
18 | .378 | .444 | .516 | .561 |
19 | .369 | .433 | .503 | .549 |
20 | .360 | .423 | .492 | .537 |
21 | .352 | .413 | .482 | .526 |
22 | .344 | .404 | .472 | .515 |
23 | .337 | .396 | .462 | .505 |
24 | .330 | .388 | .453 | .496 |
25 | .323 | .381 | .445 | .487 |
26 | .317 | .374 | .437 | .479 |
27 | .311 | .367 | .430 | .471 |
28 | .306 | .361 | .423 | .463 |
29 | .301 | .355 | .416 | .456 |
30 | .296 | .349 | .409 | .449 |
35 | .275 | .325 | .381 | .418 |
40 | .257 | .304 | .358 | .393 |
45 | .243 | .288 | .338 | .372 |
50 | .231 | .273 | .322 | .354 |
60 | .211 | .250 | .295 | .325 |
70 | .195 | .232 | .274 | .302 |
80 | .183 | .217 | .256 | .283 |
90 | .173 | .205 | .242 | .267 |
100 | .164 | .195 | .230 | .254 |
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