# Tagged Questions

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### Determining sample size when given %C.I. and margin of error in a finite population

I'm trying to determine n, the sample size. We have $N=580$ and we want to estimate population proportion, $p$, at a 95%-CI and a margin of error of $0.10$, then I get $$n=Npq / (N-1)D + pq$$ ...
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### How to handle samples with many replicates for population estimation,when sample size is small?

I have a sample with very small sample size ($n<10$) and I would like to estimate the population mean. However, some of the samples are replicates (for instance, sampled at the same location). ...
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### When regression is run on population

I have a small population and it is possible to estimate Population regression function from the data. The size of the population is very small. It is only eight. I think since the regression ...
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### How to compare the means of two dependent groups when the groups are not paired?

I have performed a behavioral experiment on bees from one single hive. I let them fly under two different conditions and now I want to compare the average flight speed in the two conditions. The ...
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### What is the amount of certainty in this yes/no test?

A child must learn a poem by heart. The poem has 200 lines. To test the child, the teacher asks the child to complete ten lines of the poem given the first half of the sentence. If the child gets, ...
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### How to use finite population correction in multiple regression?

I have a small population of N=137 and a (presumably representative) sample of n=81. The corresponding Finite Population Correction (FPC) factor is FPC=SQRT {(N-n)/(N-1)}= 0.64. Can I apply this ...
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### Determine weights from selection probabilities in a “with replacement” sampling scheme [duplicate]

Possible Duplicate: Derive househould weights from a uniformly distributed person sample EDIT: Essentially, I have answered the question myself in the linked question: Derive househould ...
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### Calibrating a household survey to household-level and person-level control totals

Imagine a (reasonably large) household survey where all persons in every household have been questioned. For the purpose of microsimulation, this survey needs to be expanded to a full population. In a ...
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### Margin of Error for Likert scale response

Suppose the target population is a group of 11 company CEOs and 7 CEOs responded to a question about their level of annual bonus on a 7 point Likert scale. The responses are as follows: 7, 7, 7, 7, ...
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### Bias of autocorrelation function in finite sample for ARMA processes

I remember reading that, when estimating the autocorrelation function of a univariate ARMA time series using finite samples, the estimate is biased and specifically the lag-1 ACF is negatively biased ...
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### When the population has a known fixed size, are tables for the t statistic wrong?

As I understand it, Student's t will asymptotically approximate the Z statistic at sample sizes approaching infinity (see the infinite degrees of freedom row for degrees of freedom in most ...
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### Significant difference between two small populations sampled without replacement

Suppose I sample and perform tests from two small populations, without replacement, and I want to test for a significant difference in the proportions of positives in each population. How can I ...