Binod Goswamis Classes on Econometrics B.A. Fourth Semester Honours Topic- Chi-Square Test Basic Pervious knowledge required on- Hypothesis- Null and Alternative Errors and its types Parametric and Nonparametric Test Nominal and
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Presentation Transcript
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Binod Goswami’s Classes on Econometrics B.A. Fourth Semester Honours Topic- Chi-Square Test
Basic Pervious knowledge required on-
Hypothesis- Null and Alternative
Errors and its types
Parametric and Nonparametric Test
Nominal and Categorical Variable 5/24/2021 1 BG's Classes on econometrics<br>
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Hypothesis- Null and Alternative Hypothesis is a statement about a population.Ex- Mean weight of students of NGC is 46 kg and its standard deviation is 9
It is an assumption made about parameter values.
Validity of hypothesis is tested with the help of statistical techniques (CHI-square test, T-test,F-test)
These test tells us whether hypothesis is to be accepted or to be rejected 5/24/2021 2 BG's Classes on econometrics<br>
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Types of Hypothesis – Null hypothesis and Alternative hypothesis Null hypothesis
Null hypothesis-a statistical hypothesis stated to test its validity is called null hypothesis.
Denoted by H0
H0 is always tested on the basis of sample results and is ultimately either rejected or accepted.
It is the hypothesis of no difference.
If the population mean is then H0 is written as
H0 : = 0 , 0 is a specified value of
Similarly if and 1 are 2 the parameters of two populations , the null hypothesis is written as
H0 : 1 = 2 5/24/2021 3 BG's Classes on econometrics<br>
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Types of Hypothesis – Null hypothesis and Alternative hypothesis Alternative hypothesis- hypothesis accepted as a result of rejection of null hypothesis.
Denoted as H1
It is complementary to the null hypothesis
if the null hypothesis is that the population has specified mean 0 (say) i.e. H0 : = 0 Then the alternative hypothesis may be
H1 : 0
H1 : > 0
H1 : < 0 5/24/2021 4 BG's Classes on econometrics<br>
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5/24/2021 5 BG's Classes on econometrics<br>
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Errors in Hypothesis Testing In hypothesis testing, the decision to accept or reject of null hypothesis is taken on the basis of the sample result. The decision taken in this way may not be correct always. Thus Errors arise.
There are 4 possibilities when a statistical hypothesis is tested 5/24/2021 6 BG's Classes on econometrics<br>
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5/24/2021 7 BG's Classes on econometrics<br>
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Type I and Type II errors 5/24/2021 8 BG's Classes on econometrics<br>
