Sampling Distributions.pdf
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Transcript of Sampling Distributions.pdf
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Sampling Distributions
Statistical Inference By,
Yaseen Ahmed Meenai
Faculty, DMS-FCS-IBA
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Sampling and Sample Estimates
Sampling is the
Procedure of getting a
Sample from a Population
Sample results are ESTIMATES while Population results are PARAMETERS
For e.g. (a sample mean) is an Estimate and (a population mean) is a Parameter.
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Repeated Sampling
Repeated Sampling can produce several Samples from a single population.
POPULATION
Sample1 Sample2 Sample3 ... Sample k
Mean1 Mean2 Mean3 .. Mean k
Sample Mean (Estimate) itself became a DATA
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Sampling Distribution
Distribution of Sample Estimate is called a Sampling distribution
For e.g. Sampling Distribution of Mean, Sampling Distribution of Variance etc.
Class Work
Determine the Sampling Distribution of Sample Means data gathered in the last BBA-III class
Observed its SHAPE and comments.
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Data Tabulation (Grouping Exercise)
Step # 01:
Finding the range
Range = Max. Min
Step # 02:
Finding the number of classes
No. of classes = 1 + 3.3 log(n)
Step # 03:
Finding the width or height (h)
h = Range/No. of classes
Class Intervals Frequency
Min ______ Min+h
Min+h ___ Min+h+h
Min+h+h _______ .
____________ Max
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Mean and Variance of the Sampling Distribution of Mean
Class Intervals fi xi fi xi fi (xi-mean)2
Min ______ Min+h f1 x1 f1 x1 ..
Min+h ___ Min+h+h f2 x2 f2 x2 ..
Min+h+h _______ . f3 x3 ..
.. .. ..
____________ Max fm xm ..
f x fx fi (xi-mean)2