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@@ -50,6 +50,18 @@ Some of its applications include determining the spread of data. It is used in t
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The IQR is also used to determine outliers to the data set. This is in conjuction with the box plot (or the box-and-whisker plot). Outliers are defined as values that are below Q1-1.5*IQR or above Q3+1.5*IQR. There are other methods that could be used to determine whether outliers can be eliminated from the data set.
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### 5. What is the difference between t-test and z-test ? Why is it useful ?
| Basic Definition | Z-test is a kind of hypothesis test which ascertains if the averages of the 2 datasets are different from each other when standard deviation or variance is given. | The t-test can be referred to as a kind of parametric test that is applied to an identity, how the averages of 2 sets of data differ from each other when the standard deviation or variance is not given. |
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| Population Variance | The Population variance or standard deviation is known here. | The Population variance or standard deviation is unknown here. |
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| Sample Size | The Sample size is large. | Here the Sample Size is small. |
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| Key Assumptions | All data points are independent. Normal Distribution for Z, with an average zero and variance = 1. | All data points are not dependent. Sample values are to be recorded and taken accurately. |
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| Based upon (a type of distribution) | Based on Normal distribution. | Based on Student-t distribution. |
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### 6. Why do we take n-1 when calculating sample variance? Why is it useful ?
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Read about Besel correction
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### 7. What are the assumptions of the normal distribution ? Why is it useful ?
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