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
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.