8/18/2019 Statistical sample size determination

http://slidepdf.com/reader/full/statistical-sample-size-determination 1/3

17.03.2016. What is the representative sample size for a survey of 10,000 (Ten thousand) population / sample frame? - ResearchGate

https://www.researchgate.net/post/What_is_the_representative_sample_size_for_a_survey_of_10_000_Ten_thousand_population_sample_frame 1/3

ALL ANSWERS (3)

Robert James McClelland · 48.24 · 6.82 · Liverpool John Moores

University

use Yamane's formula for sample size but that does not cover 

representativeness

http://edis.ifas.ufl.edu/LyraEDISServlet?

command=getImageDetail&image_soid=IMAGE%20PD:PD006E3A&docu

ment_soid=PD006&document_version=98322

Where e is the error you wish to introduce (typically 0.05 or 0.01) and N is

the population size

For your f igures ssize will be of or der of 400

For representativeness you need some profile that you know proportion of 

in the population to reflect into sample - usually linked to your research

question eg gender, age group, areas in which they live etc.

When you have determined sample size the proportions in the sample

should mirror the profile proportions you have decided upon to represent

1 / 0  · Jan 26, 2015

James R Knaub · 46.80 · 2.43 · N/A

Regarding sampling , "representativeness" means different things todifferent people in different contexts. Likely here I think you mean that

from a sample, you want to be able to estimate population means or totals

to publish information at an aggregate level. But perhaps you want to

estimate characteristics of the population distribution or have some other 

interest. In the first case, estimating means and totals for a finite

population, I am thinking in terms of continuous data. However, you may

be estimating proportions, or have an interest in discrete data.

Suppose you are looking at a finite population of size N=10,000 and

suppose you are collecting continuous data and want to know what

sample size, n, you need to adequately estimate a mean or total for a

given item on the survey. If you did a simple random sample, then various

sample survey books, such as Cochran, W.G.(1977), Sampling

Techniques, 3rd ed., John Wiley & Sons, pages 77 and 78, could give you

the information needed. You will see that a preliminary estimate of the

variance of the data is needed. Cochran suggests you obtain this by

means of a pilot study, or previous similar data or another educated

'guess.' This is true also for model-based sampling, which I assume you

will not be using. (However, if you have regressor data, they could be put

Md. Joynal Abdin  19.75

SME Foundation, Bangladesh

0  / 0 

What is the representative sample size for a survey of 

10,000 (Ten thousand) population / sample frame?

Think my population is = 10,000 individuals.

I have list and addresses of this 10,000 people.

What should be representative sample size to conduct a survey among them?

TOPICS

Jan 25, 2015

Basic Statistical Methods Basic Statistical Analysis Sample Size Sampling Frame

Share

Follow this question

Answer this question

QUESTION FOLLOWERS (6)

Views   1162

Followers   6

 Answers   3

HOME   QUESTIONS   JOBS   Search

2 1

 Add new

8/18/2019 Statistical sample size determination

http://slidepdf.com/reader/full/statistical-sample-size-determination 2/3

17.03.2016. What is the representative sample size for a survey of 10,000 (Ten thousand) population / sample frame? - ResearchGate

https://www.researchgate.net/post/What_is_the_representative_sample_size_for_a_survey_of_10_000_Ten_thousand_population_sample_frame 2/3

to good use.)

This is a common problem for sample size estimation: you need some

preliminary information on the variance of each item (variable of interest

or 'question') first. An exception of sorts is estimation of proportions, which

can assume a worst case (p=q=0.5) when estimating sample size needs.

But the fun does not stop there. It is rare that a population as large as

yours should use a simple random sample, even if strictly probability

sampling and estimation (no 'auxiliary'/regressor data available) is used.

You are likely to do much better by grouping your population into strata.

(That works well for regression models as well.). The idea of stratificationis to obtain more accurate results (re sampling error) with a smaller overall

sample size (which can also help with nonsampling error, particularly

measurement error). But if you want to publish information such as totals

separately by those strata, that is not really stratification. It will not lower 

your sample size, but raise it because you are trying to publish more

categories.

Stratification lowers your sample size need by grouping parts of the

population that are more alike in that there is less variance between

members of a given stratum. Optimum allocation and other sample size

information can be found in books like Cochran's (chapters 4 and 5 there,

for simple random sampling and for stratified random sampling).

There are other design considerations, such as cluster sampling and

complex survey sampling that may be beyond the scope of this question.

Whatever the type of data you are collecting, and whatever design and/or 

regressor data you have, a sample size is generally picked with the idea

that you have some accuracy level that you want to obtain, and you want

to know how many observations it will take to do that. Besides the

sampling error concerns that predominate in whatever sample size

estimator you choose, remember that if you try to collect too much data,

that can lower your data quality and invalidate, to a degree, the variation

you estimated to estimate sample size to begin with.

Note that there are methods to sample, and methods to estimate, and

some go together and others do not.

There are a number of good books available.

Cheers

  2 / 0  · Jan 26, 2015

Lukman Raimi · 7.60 · Yaba College of Technology

Use Partem (1950) formula as:

n = ___NZ² * 0.25___

d² * (N – 1) + (Z² * 0.25)

Where n = the sample size required and which is statistically

representative

N = the target population size

d = confidence level (0.05)

Z = number of standard deviation units of the sampling distribution

corresponding to the desired confidence level given as 1.96.

You may also use sample size calculator by google

  1 / 0  · Jan 27, 2015

Add your answer 

Rudolf Kiralj  · Technical College in Bjelovar 

Enter your answer 

Rudolf Kiralj 

Technical College in B...

Questions matching your expertise

Ask a question

What's the best way to perform Principal

Component Analysis of multispectral imagery

(visible to near-infrared) for vegetation?

New   Be the first to answer

Can anyone help me with Lulo or Tamarillo

(Solanum quitoense) descriptors ?

New   Be t he first to answer

What statistical test is most appropriate??

8 answers added 

8/18/2019 Statistical sample size determination

http://slidepdf.com/reader/full/statistical-sample-size-determination 3/3

17.03.2016. What is the representative sample size for a survey of 10,000 (Ten thousand) population / sample frame? - ResearchGate

https://www.researchgate.net/post/What_is_the_representative_sample_size_for_a_survey_of_10_000_Ten_thousand_population_sample_frame 3/3

© 2008‐2016 researchgate.net. All rights reserved. About us · Contact us · Careers · Developers · News · Help Center · Privacy · Terms | Advertising · Recruiting