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Title: Sampling Distribution of Means
Description: This is a class lecture about Sampling Distribution of Means. You can learn about the following: • Inferential Statistics • Types of Sampling Techniques • Sampling Distributions • Sampling Distribution of the Mean
Description: This is a class lecture about Sampling Distribution of Means. You can learn about the following: • Inferential Statistics • Types of Sampling Techniques • Sampling Distributions • Sampling Distribution of the Mean
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SAMPLING DISTRIBUTION
OF MEANS
(Class Lecture in Statistics)
Part 2
Sampling Distribution of Means
2
INFERENTIAL STATISTICS
Inferential Statistics is concerned with drawing conclusions and/or making
decisions concerning a population based only on sample data
...
It is less time-consuming and less costly than a census
...
Sampling Distribution of Means
3
TYPES OF SAMPLING TECHNIQUES
Simple Random Sampling
- every element of the population has the same probability of being selected
for inclusion in the sample
...
Sampling Distribution of Means
4
In doing systematic random sampling in a population of size N using a
sample size n, the sampling interval k is given by:
N
k
n
Stratified Random Sampling
- the population is partitioned into several subgroups or strata, then samples
are randomly selected separately from each stratum
...
Cluster vs Stratified Sampling
The difference between cluster sampling and stratified sampling is that the
sample consists of elements from the selected clusters only, while in stratified
sampling, the sample comes from all the strata
...
Sampling Distribution of Means
7
SAMPLING DISTRIBUTION OF THE MEAN
A sampling distribution of sample means is a frequency distribution using
the means computed from all possible random samples of a specific size taken
from a population
...
Constructing Sampling Distributions of Sample Means
How to construct a sampling distribution of sample means from a given
population?
STEP 1: Determine the number of samples of size n from the population of size N
...
STEP 3: Construct a frequency distribution of the sample means obtained in Step 2
...
The number of samples of size n from the population of size N are given as
follows:
For sampling with replacement:
Nn
C
For sampling without replacement: N n
8
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Title: Sampling Distribution of Means
Description: This is a class lecture about Sampling Distribution of Means. You can learn about the following: • Inferential Statistics • Types of Sampling Techniques • Sampling Distributions • Sampling Distribution of the Mean
Description: This is a class lecture about Sampling Distribution of Means. You can learn about the following: • Inferential Statistics • Types of Sampling Techniques • Sampling Distributions • Sampling Distribution of the Mean