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RE: st: multiple regression power analysis using powerreg

From   Nancie Celini <>
Subject   RE: st: multiple regression power analysis using powerreg
Date   Mon, 02 Jan 2012 17:00:36 -0500

Thank you I will investigate the readings you have kindly referred me to.


-----Original Message-----
[] On Behalf Of Cameron McIntosh
Sent: Monday, January 02, 2012 4:25 PM
Subject: RE: st: multiple regression power analysis using powerreg

Without knowing anything about your study, survey methodology or population
of interest, I think I can still say that in part you're talking about
sample size determination using a finite population correction factor (FPC),
at least for finite population parameters (i.e., means, totals).  However,
with regression coefficients you also get into superpopulation parameter
territory (i.e., parameters representing stochastic data-generating
mechanisms, rather than just direct functions of the observations in the
sample). I also imagine you had some idea about meaningful effect sizes. I
suggest you do some more reading:
Naing, L., Winn, T., & Rusli, B.N. (2006). Practical Issues in Calculating
the Sample Size for Prevalence Studies. Archives of Orofacial Sciences, 1,

Sarndal, C.E., Swensson, B., & Wretman, J.H. (1989). The Weighted Residual
Technique for Estimating the Variance of the General Regression Estimator of
the Finite Population Total. Biometrika, 76, 527-537.

Graubard, B.I., & Korn, E.L. (2002). Inference for Superpopulation
Parameters Using Sample Surveys. Statistical Science, 17(1), 73-96. 

Fuller, W.A., & Wu, Y.Y. (2006). Estimation of Regression Parameters with
Survey Data. Proceedings of Statistics Canada Symposium 2006, Methodological
Issues in Measuring Population

Fuller, W. A. (2002). Regression estimation for survey samples. Survey
Methodology, 28,

Pfeffermann, D., & Sverchkov, M. (1999). Parametric and semi-parametric
estimation of regression models fitted to survey data. Sankhyā, Series B,
61(Pt. 1), 166-186.

and also:

Murphy, K.R., Myors, B., & Wolach, A. (2009). Statistical Power Analysis: A
Simple and General Model for Traditional and Modern Hypothesis Tests (3rd
Ed.). Mahwah, NJ: Erlbaum.

Hoenig, J.M., & Heisey, D.M. (2001). The Abuse of Power: The Pervasive
Fallacy of Power Calculations for Data Analysis. The American Statistician,
Baguley, T. (2004). Understanding statistical power in the context of
applied research. Applied Ergonomics, 35(2),

Qian, J., Ou, C.-Q., Wang, T., & Chen, P.-Y. (2009).  The Study on
Reasonability of Retrospective Power. In: Proceedings of the Second
International Conference on Information and Computing Science, May 21-22,
2009, vol 4., pp. 323-326. Lenth, R.V. (2001). Some Practical Guidelines for
Effective Sample Size Determination. The American Statistician, 55(3),

Maxwell, S.E., Kelley, K., & Rausch, J.R. (2008). Sample Size Planning for
Statistical Power and Accuracy in Parameter Estimation. Annual Review of
Psychology, 59,

O'Keefe, D.J. (2007). Brief Report: Post Hoc Power, Observed Power, A Priori
Power, Retrospective Power, Prospective Power, Achieved Power: Sorting Out
Appropriate Uses of Statistical Power Analyses. Communication Methods and
Measures, 1(4), 291-299.
Kelley, K., Maxwell, S.E., & Rausch, J.R. (2003). Obtaining power or
obtaining precision: Delineating methods of sample-size planning. Evaluation
and the Health Professions, 26(3),

Ultimately, a fully-specified simulation study might be the best way to go.

Date: Mon, 2 Jan 2012 15:26:57 -0500
Subject: st: multiple regression power analysis using powerreg

I hope someone can help me. I did a survey (validated) to collect data from
a fixed population of 600 as a convenience sample for an academic study. My
response rate was  14% or 83 responses. I am being asked to conduct a power
analysis retrospectively. Has anyone used powerreg in Stata for this purpose
on a survey/convenience sample in this manner? What advice can you provide -
I understand this a rather subjective number so need to know the inputs
required in this type of analysis to yield the best result. Thank
you. Nancie
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