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Walter Phillip SP. Palad, R.N.
STATISTICS
SAMPLING METHODS
 Sample
 Population
 Target population
4 BASIC REASONS FOR THE
USE OF SAMPLES
greater speed.
reduce cost.
greater accuracy.
greater scope.
TYPES OF SAMPLING
METHODS:
PROBABILITY SAMPLING
 use some form of random selection
 equal probabilities of being selected
 there is an “OBJECTIVE” way of assessing reliability of result.
NON PROBABILITY SAMPLING
 the sample is not a proportion of the population and there is
no system in selecting sample.
 the selection depends on the situation
PROBABILITY
SAMPLING
 Pure/ Simple Random Sampling
( Lottery sampling or Fishbowl
Method )
 equal chance of being selected.
 Systematic Sampling ( Restricted
Random Sampling )
 alphabetical arrangement,
residential or house arrays,
geographical placement, etc.
 e.g. 20% of sample size. If 100%
is divided by 20%, then the result
is 5, so every 5th name will be
taken from the population.
 Stratified Random Sampling
 grouped in to a more or less homogenous classes
 CLASSIFICATION: Horizontal and Vertical
 Horizontal: BSED, BSN, BSHRM at same year
 Vertical: 1st year, 2nd year, 3rd year and 4th year or Age 10,
11, 12, etc.
 Cluster Sampling ( Area Sampling )
 heterogonous individual
 used when population is very large and wide (community)
NON PROBABILITY SAMPLING
 the sample is not a proportion of the
population and there is no system in
selecting sample.
 the selection depends on the situation
 Purposive Sampling
 Convenience Sampling
 Quota Sampling
 Accidental Sampling
SAMPLING ERROR
 “ chance differences ”
 Taking larger sample sizes can reduce sampling error,
although this will increase the cost of conducting
survey.
STANDARD ERROR OF THE
MEAN
Note: Standard deviation is computed by getting the square
root of the variance.
Note: To compute for standard error of the mean, divide the
computed standard deviation by the square root of the total
( sum ) frequencies
CONFIDENCE INTERVALS AND
CONFIDENCE LEVELS
Statisticians use a confidence interval to describe the
amount of uncertainty associated with a sample
estimate of a population parameter.
The confidence level describes the uncertainty
associated with a sampling method.
EXAMPLE
1. A sample of 16 students is taken. The
average age in the sample was 22 years with
a standard deviation of 6 years. Construct a
95 % confidence interval for the average age
of the population.
2. A sample of 100 bean cans showed an
average weight of 13 ounces with a standard
deviation of 0.8 ounces. Construct a 90%
confidence interval for the mean of the
population.
PRACTICE SET:
1. Construct a 90% confidence for the population
mean, m. Assume the population has a normal
distribution. In a recent study of 22 eighth graders,
the mean number of hours per week that they
watched television was 19.6 with a standard
deviation of 5.8 hours.
2. A random sample of 40 students has a
mean annual earnings of $3120 and a
standard deviation of $677. Construct the
90% confidence interval for the population.

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Statistics

  • 1. Prepared by: Walter Phillip SP. Palad, R.N. STATISTICS
  • 2. SAMPLING METHODS  Sample  Population  Target population
  • 3. 4 BASIC REASONS FOR THE USE OF SAMPLES greater speed. reduce cost. greater accuracy. greater scope.
  • 4. TYPES OF SAMPLING METHODS: PROBABILITY SAMPLING  use some form of random selection  equal probabilities of being selected  there is an “OBJECTIVE” way of assessing reliability of result. NON PROBABILITY SAMPLING  the sample is not a proportion of the population and there is no system in selecting sample.  the selection depends on the situation
  • 5. PROBABILITY SAMPLING  Pure/ Simple Random Sampling ( Lottery sampling or Fishbowl Method )  equal chance of being selected.  Systematic Sampling ( Restricted Random Sampling )  alphabetical arrangement, residential or house arrays, geographical placement, etc.  e.g. 20% of sample size. If 100% is divided by 20%, then the result is 5, so every 5th name will be taken from the population.
  • 6.  Stratified Random Sampling  grouped in to a more or less homogenous classes  CLASSIFICATION: Horizontal and Vertical  Horizontal: BSED, BSN, BSHRM at same year  Vertical: 1st year, 2nd year, 3rd year and 4th year or Age 10, 11, 12, etc.  Cluster Sampling ( Area Sampling )  heterogonous individual  used when population is very large and wide (community)
  • 7. NON PROBABILITY SAMPLING  the sample is not a proportion of the population and there is no system in selecting sample.  the selection depends on the situation
  • 8.  Purposive Sampling  Convenience Sampling  Quota Sampling  Accidental Sampling
  • 9. SAMPLING ERROR  “ chance differences ”  Taking larger sample sizes can reduce sampling error, although this will increase the cost of conducting survey.
  • 10. STANDARD ERROR OF THE MEAN Note: Standard deviation is computed by getting the square root of the variance. Note: To compute for standard error of the mean, divide the computed standard deviation by the square root of the total ( sum ) frequencies
  • 11. CONFIDENCE INTERVALS AND CONFIDENCE LEVELS Statisticians use a confidence interval to describe the amount of uncertainty associated with a sample estimate of a population parameter. The confidence level describes the uncertainty associated with a sampling method.
  • 12. EXAMPLE 1. A sample of 16 students is taken. The average age in the sample was 22 years with a standard deviation of 6 years. Construct a 95 % confidence interval for the average age of the population.
  • 13. 2. A sample of 100 bean cans showed an average weight of 13 ounces with a standard deviation of 0.8 ounces. Construct a 90% confidence interval for the mean of the population.
  • 14. PRACTICE SET: 1. Construct a 90% confidence for the population mean, m. Assume the population has a normal distribution. In a recent study of 22 eighth graders, the mean number of hours per week that they watched television was 19.6 with a standard deviation of 5.8 hours.
  • 15. 2. A random sample of 40 students has a mean annual earnings of $3120 and a standard deviation of $677. Construct the 90% confidence interval for the population.