Power_TypeII_Error.biblio.doc © 2004, Timothy G. Gregoire, Yale University
Last revised: May 2004
Power/Type II Error
1. Tang, P. C. (1938) “The Power Function of the Analysis of Variance Tests with Tables and
Illustrations of Their Use.” Statistical Research Memoirs , 2: 126-149.
2. Pearson, E. S. and H. O. Hartley. (1951) “Charts of the Power Function for Analysis of
Variance Tests, Derived from the Non-Central F -Distribution.” Biometrika , 38: 112-130.
3. Owen, D. B. (March 1965) “The Power of Student’s t -Test.” American Statistical
Association Journal , pages 320-333.
4. Guenther, W. C. (November 1981) “Sample Size Formulas for Normal Theory T Tests.”
The American Statistican , 35(4): 243-244.
5. Bernstein, B. B. and J. Zalinski. (1983) “An Optimum Sampling Design and Power Tests for Environmental Biologists.” Journal of Environmental Management , 16: 35-43.
6. Gregoire, T. G. (~1983) Notes.
7. Gregoire, T. G. (11 May 1983) “Notes on the Power of Significance Tests.”
8. Gregoire, T. G. (9 June 1983) “Notes on Calculating Sample Size Needed to Achieve
Specified
α
and
β
Error Rates.”
9. Toft, C. A. and P. J. Shea. (November 1983) “Detecting Community-Wide Patterns:
Estimating Power Strengthens Statistical Inference.” The American Naturalist , 122(5):
618-625.
10. Westermann, R. and Willi Hager. (1983) “The Relative Importance of Low Significance
Level and High Power in Multiple Tests of Significance.” Perceptual and Motor Skills ,
56: 407-413.
11. Kraemer, H. C. (Fall 1985) “A Strategy to Teach the Concept and Applications of Power of
Statistical Tests.” Journal of Educational Statistics , 10(3): 173-195.
12. Salsburg, D. S. (August 1985) “The Religion of Statistics as Practiced in Medical
Journals.” The American Statistician , 39(3): 220-223.
13. Smith, R. J. (June 1985) “Scientific Fraud Probed at AAAS Meeting.” Science , 228: 1292-
1293.
14. Thomas, D. R. and J. N. K. Rao. “On the Power of Some Goodness-of-Fit Tests Under
Cluster Sampling.” Reprinted from the 1985 Section on Survey Research Methods
Proceedings of The American Statistical Association , pages 291-296.
15. Côté, B. and C. Camiré. (1986) “Determining the Extension of Edge Effect in Small Plots
Power_TypeII_Error.biblio.doc © 2004, Timothy G. Gregoire, Yale University
Using Type I and Type II Error Rates.” Canadian Journal of Forest Resources , 16: 710-
712.
16. Gerrodette, T. (October 1987) “A Power Analysis for Detecting Trends.” Ecology , 68(5):
1364-1372.
17. Hayes, J. P. (1987) “The Positive Approach to Negative Results in Toxicology Studies.”
Ecotoxicology and Environmental Safety , 14: 73-77.
18. McRoberts, R. E. (1987) “Comparing Regression Curves.” Presented at the IUFRO Forest
Growth Modeling and Prediction Conference , Minneapolis, MN, August 24-28.
19. Millard, S. P. (September 1987) “Proof of Safety vs Proof of Hazard.” Biometrics , 43:
719-725.
20. Gatsonis C. and A. R. Sampson. (1989) “Multiple Correlation: Exact Power and Sample
Size Calculations.” Psychological Bulletin , 106(3): 516-524.
21. Goldstein R. (November 1989) “Power and Sample Size via MS/PC-DOS Computers.”
The American Statistician , 43(4): 253-260.
22. Green, R. H. (1989) “Power Analysis and Practical Strategies for Environmental
Monitoring.” Environmental Research , 50: 195-205.
Peterman, R. M. (1989) Application of statistical power analysis to the Oregon Coho salmon
( Oncorhynchus kisutch ) problem. Canadian Journal of Fisheries and Aquatic Resources , 46:
1183-1187.
23. Castelloe, J. M. and R. G. O’Brien. (199?) “Power and Sample Size Determination for
Linear Models.” SAS Report, Paper 240-26.
24. Dupont, W. D. and W. D. Plummer, Jr. (1990) “Power and Sample Size Calculations.”
Controlled Clinical Trials , 11: 116-128.
25. Peterman, R. M. (1990) “The Importance of Reporting Statistical Power: The Forest
Decline and Acidic Deposition Example.” Ecology , 71(5): 2024-2027.
26. Peterman, R. M. (1990) “Statistical Power Analysis Can Improve Fisheries Research and
Management.” Canadian Journal of Fisheries & Aquatic Science , 47: 2-15.
27. Simberloff, D. (1990) “Hypotheses, Errors, and Statistical Assumptions.” Herpetologica ,
46(3): 351-357.
28. Fairweather, P. G. (1991) “Statistical Power and Design Requirements for Environmental
Monitoring.” Australian Journal of Marine Freshwater Reserves , 42: 555-567.
29. Taylor, B. L. and T. Gerrodette. (1993) “The Uses of Statistical Power in Conservation
2 page
Power_TypeII_Error.biblio.doc © 2004, Timothy G. Gregoire, Yale University
Biology: The Vaquita and Northern Spotted Owl.” Conservation Biology , 7(3): 489-500.
30. Davidson, R. and J. G. MacKinnon. (June 1994) “Graphical Methods for Investigating the
Size and Power of Hypothesis Tests.” Institute for Economic Research , Discussion Paper
#903, Queen’s University, Kingston, Ontario, Canada. 23 pages.
31. Goodman, S. N. and J. A. Berlin. (1994) “The Use of Predicted Confidence Intervals When
Planning Experiments and the Misuse of Power When Interpreting Results.” Annals of
Internal Medicine , 121(3): 200-206.
32. Searcy-Bernal, R. (1994) “Statistical power and aquacultural research.” Aquaculture ,
127: 371-388.
33. Taylor, D. J. and K. E. Muller. (February 1995) “Computing Confidence Bounds for Power and Sample Size of the General Linear Univariate Model.” The American Statistician ,
49(1): 43-47.
34. Taylor, D. J. and K. E. Muller. (1996) “Bias in Linear Model Power and Sample Size
Recalculation Due to Estimating Noncentrality.” Communications in Statistics—Theory and Method , 25(7): 1595-1610.
35. Thomas, L. and F. Juanes. (1996) “The Importance of Statistical Power Analysis: An
Example from Animal Behaviour.” Animal Behaviour , 52: 856-859.
36. Muller, K. E. and V. B. Pasour. (1997) “Bias in Linear Model Power and Sample Size Due to Estimating Variance.” Communications in Statistics—Theory and Method , 26(4): 839-
851.
37. Thomas, L. and C. J. Krebs. (1997) “A Review of Statistical Power Analysis Software.”
Bulletin of the Ecological Society of America , 78(2): 126-139.
38. Dayton, P. K. (6 February 1998) “Reversal of the Burden of Proof in Fisheries
Management.” Science , 279: 821-822.
39. Zumbo, B. D. and A. M. Hubley. (1998) “A Note on Misconceptions Concerning
Prospective and Retrospective Power.” The Statistician , 47(2): 385-388.
40. Maxwell, S. E. (2000) “Sample Size and Multiple Regression Analysis.” Psychological
Methods , 5(4): 434-458.
41. Foster, J. R. (2001) “Statistical Power in Forest Monitoring.” Forest Ecology and
Management , 151: 211-222.
3 page