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Sampling Design Process
Sample Size Determination
Find how many lecturers, readers, & professors would be selected from each category if,
• We follow stratified proportionate sampling method & take 10 % of the universe equivalent to the
sample size,
• If the size of the sample is 10 % of the universe, but the lecturers, readers, & professors are to be in
the ratio of 5 : 3 : 2 and weightage of the length of service is to be in the ratio of 4 : 3 : 2 : 1.
Length of Service Lecturers Readers Professors Total
Less than 5 years 2000 250 50 2300
5-10 years 3000 220 80 3300
10-15 years 1500 170 30 1700
More than 15 years 880 80 40 1000
Total 7380 720 200 8302
Sample Size Determination
2D
2σ2Z
n 
n = sample size
Z= value at a specified level of confidence or desired level of precision
σ = Standard Deviation of the population
D = difference between population mean and sample mean
Determine the sample size, if S.D. of the population = 6, population mean = 25, sample mean =
23, and the desired degree of precision is 99 % (Z-value at 1% significance level is 2.576).
Standard error of mean (σx)
Standard error of Proportion (σp)
Precision
Cost

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Sampling ppt

  • 1.
  • 2.
  • 4.
  • 5.
  • 7. Find how many lecturers, readers, & professors would be selected from each category if, • We follow stratified proportionate sampling method & take 10 % of the universe equivalent to the sample size, • If the size of the sample is 10 % of the universe, but the lecturers, readers, & professors are to be in the ratio of 5 : 3 : 2 and weightage of the length of service is to be in the ratio of 4 : 3 : 2 : 1. Length of Service Lecturers Readers Professors Total Less than 5 years 2000 250 50 2300 5-10 years 3000 220 80 3300 10-15 years 1500 170 30 1700 More than 15 years 880 80 40 1000 Total 7380 720 200 8302
  • 8. Sample Size Determination 2D 2σ2Z n  n = sample size Z= value at a specified level of confidence or desired level of precision σ = Standard Deviation of the population D = difference between population mean and sample mean Determine the sample size, if S.D. of the population = 6, population mean = 25, sample mean = 23, and the desired degree of precision is 99 % (Z-value at 1% significance level is 2.576). Standard error of mean (σx) Standard error of Proportion (σp)