Formula used for sample size calculation for a survey: n=z2 *p(1-p)/d2 or with corrected factor. Likelihood of having controlled blood glucose level: (OR 95% CI 1.50 [1.23;1.76]) in result section of a paper.
Should the level of CI (95%), i.e p
Derbew -
A p-value without a type II error analysis is lacking in sufficient information.
https://www.researchgate.net/publication/262971440_Practical_Interpretation_of_Hypothesis_Tests_-_letter_to_the_editor_-_TAS
Other than that, the things you mentioned all depend upon standard errors for means, which all depend upon the standard deviation of a population of the data of interest, or of the estimated residuals in regression (or often better, the random factors of the estimated residuals in WLS regression). The standard deviations do not change with sample size, but may be estimated better with a larger sample size, or perhaps distorted by nonsampling error.
There are two main ways to do this, and you have seen them.
In the case of model-based sampling and estimation, you see a format for sample size selection that corresponds to that for simple random sampling, because they all depend upon standard deviations of data directly, or for regression, from residuals.
https://www.researchgate.net/publication/261947825_Projected_Variance_for_the_Model-based_Classical_Ratio_Estimator_Estimating_Sample_Size_Requirements
See page 2888.
Cheers - Jim
PS - Above is for continuous, and for yes/no data. I suppose principles likely apply in some way to all data types. I worked with continuous data and regressions mostly.
PSS -
Since you mentioned the finite population correction factor, I assume you are looking at a finite population.
https://www.researchgate.net/publication/262970761_FINITE_POPULATION_CORRECTION_fpc_FACTOR
You might want to check chapters on sample size estimation, and related chapters in books such as
Cochran, W.G(1977), Sampling Techniques, 3rd ed., John Wiley & Sons,
and
Blair, E. and Blair, J(2015), Applied Survey Sampling, Sage Publications.
Conference Paper Projected Variance for the Model-based Classical Ratio Estim...
Article Practical Interpretation of Hypothesis Tests - letter to the...
Article FINITE POPULATION CORRECTION (fpc) FACTOR
Dear James R Knaub
Thank you for your quick answer. I will look in to all the materials you suggested me. If I understand your answer. P-value and margin of error are not same. In fact, I am using dichotomous variables.
with regards
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