1. for a two tailed with a=.05, use table b.6 to determine how large a pearson correlation is necessary to be statistically significant for each of the following samples? a. A sample of n=6 b. A sample of n=12 c. A sample of n=24

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1. for a two tailed with a=.05, use table b.6 to determine how large a pearson correlation is necessary to be statistically significant for each of the following samples? a. A sample of n=6 b. A sample of n=12 c. A sample of n=24
Appendix B: Statistical Tables
E AA A
Table B.6 Critical Values for the Pearson Correlation *
A-7
Level of Significance for One-Tailed
Test
.05
.025
.01
.005
Level of Significance for Two-Tailed
Test
df =n – 2
.10
.05
.02
.01
1
.988
.997
.9995
.9999
.900
.950
980
990
.805
.878
934
959
4
729
.811
882
917
669
.754
833
.874
622
707
789
834
Table VI of Fisher, R. A., and Yates, F. (1974). Statistical Tables for Biological, Agricultural and Medical Research (6th ed.).
London: Longman Group Ltd. (previously published by Oliver and Boyd Ltd., Edinburgh). Copyright ©1963 R. A. Fisher
and F. Yates. Adapted and reprinted with permission of Pearson Education Limited.
吴國T4
MacBook Air
Transcribed Image Text:Appendix B: Statistical Tables E AA A Table B.6 Critical Values for the Pearson Correlation * A-7 Level of Significance for One-Tailed Test .05 .025 .01 .005 Level of Significance for Two-Tailed Test df =n – 2 .10 .05 .02 .01 1 .988 .997 .9995 .9999 .900 .950 980 990 .805 .878 934 959 4 729 .811 882 917 669 .754 833 .874 622 707 789 834 Table VI of Fisher, R. A., and Yates, F. (1974). Statistical Tables for Biological, Agricultural and Medical Research (6th ed.). London: Longman Group Ltd. (previously published by Oliver and Boyd Ltd., Edinburgh). Copyright ©1963 R. A. Fisher and F. Yates. Adapted and reprinted with permission of Pearson Education Limited. 吴國T4 MacBook Air
Pearson correlation
• A correlation is a statistical method used to measure and describe the relationship between two variables.
• A relationship exists when changes in one variable tend to be accompanied by consistent and predictable changes in the other
variable.
The magnitude of the Pearson correlation ranges from 0 (indicating no linear relationship between X and Y) to 1.00
(indicating a perfect straight-line relationship between X and ).
• The correlation can be either positive or negative depending on the direction of the relationship.
Formulas for Pearson correlation:
r =
; where r- is a correlation coefficient calculated for
.
VSS. ss,
the sample; Coefficient of det ermination (effect size for r) R² = r²; where r is a coefficient
correlation calculated for the sample
For a two-tailed test with a = .05, use Table B.6 to determine how large a Pearson correlation is necessary to be
statistically significant for each of the following samples?
a. A sample of n = 6
b. A sample of n = 12
c. A sample of n = 24
for the Pearson r-test table you can use the one in the textbook Appendix B: Statistical Tables, Table B.6
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MacBook Air
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F4
24
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9
Transcribed Image Text:Pearson correlation • A correlation is a statistical method used to measure and describe the relationship between two variables. • A relationship exists when changes in one variable tend to be accompanied by consistent and predictable changes in the other variable. The magnitude of the Pearson correlation ranges from 0 (indicating no linear relationship between X and Y) to 1.00 (indicating a perfect straight-line relationship between X and ). • The correlation can be either positive or negative depending on the direction of the relationship. Formulas for Pearson correlation: r = ; where r- is a correlation coefficient calculated for . VSS. ss, the sample; Coefficient of det ermination (effect size for r) R² = r²; where r is a coefficient correlation calculated for the sample For a two-tailed test with a = .05, use Table B.6 to determine how large a Pearson correlation is necessary to be statistically significant for each of the following samples? a. A sample of n = 6 b. A sample of n = 12 c. A sample of n = 24 for the Pearson r-test table you can use the one in the textbook Appendix B: Statistical Tables, Table B.6 國T4 MacBook Air ) F12 F4 24 & >* 4 6 9
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