determining the sample size

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DETERMINING THE SAMPLE SIZE RICHARD Z. ZONIO Student

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Page 1: Determining the Sample Size

DETERMINING THE SAMPLE

SIZERICHARD Z. ZONIO

Student

Page 2: Determining the Sample Size

It is the small group you observe and a population is the larger group about which your generalization is made

Sample

Page 3: Determining the Sample Size

It is the group to which a researcher would like the results to be generalizable

Population

Page 4: Determining the Sample Size

N

Slovin’S formula in finding the sample size of the population

________

n=

1+Ne2

Page 5: Determining the Sample Size

n = a sample size

Where:

N = population size e = desired margin of error

(% allowance for non-precision because of the use of sample instead of the population

Page 6: Determining the Sample Size

For instance, in your research, if the population is 9,000 and the margin of error you allow is 2%, what is your representative sample?

Through computation, your obtained sample size will be 1,957. This is attained through the following computation:

Page 7: Determining the Sample Size

9000

Example:

______________

n=

1+9000 (0.02)2

Page 8: Determining the Sample Size

9000

______________

n=

1+9000 (0.0004)

Page 9: Determining the Sample Size

9000__________

n=

1+ 3.6

Page 10: Determining the Sample Size

9000__________

n=

4.6

Page 11: Determining the Sample Size

n = 1,957

Page 12: Determining the Sample Size

Always remember that the assumption of a normal distribution of the population should be considered. When the normal approximation of your population is small or poor, this sample size formula does not apply.

Page 13: Determining the Sample Size

SAMPLE STUDY

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DETERMINANTS OF YTHE PERFORMANCE OF GRADE SIX PUPILS

IN THE NATIONAL ACHIEVEMENT TEST

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Stratified Random Sampling

Amityville ES = 137

______

2084 x 336 = 22

Kasiglahan Vill. ES = 946

______

2084 x 336 = 152

Macabud ES = 72

______

2084 x 336 = 12

Page 19: Determining the Sample Size

Macaingalan ES = 22

______

2084 x 336 = 4

Mascap ES =

63 ______

2084 x 336 = 10

Puray ES = 29

______

2084 x 336 = 5

Page 20: Determining the Sample Size

Rod. Heights ES = 283

______

2084 x 336 = 46

San Isidro ES = 294

______

2084 x 336 = 47

Tagumpay ES = 238

______

2084 x 336 = 38

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THANK YOU