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Both descriptive and inferential statistics look at a sample from some population.

The difference between descriptive and inferential statistics is in what they do with that sample:

  • Descriptive statistics aims to summarize the sample using statistical measures, such as average, median, standard deviation etc. For example, if we look at a Basketball team's game scores over a year, we can calculate the average score, variance etc. and get a description (a statistical profile) for that team.
  • Inferential statistics aims to draw conclusions about the population from the sample at hand. For example, it may try to infer the success rate of a drug in treating high temperature, by taking a sample of patients, giving them the drug, and estimating the rate of effectiveness in the population using the rate of effectiveness in the sample.

Please see the related links for more details.
All statistical tests are part of Inferential analysis; there are no tests conducted in Descriptive analysis

· Descriptive analysis- describes the sample's characteristics using…

o Metric- ex. sample mean, standard deviation or variance

o Non-metric variables- ex. median, mode, frequencies & elaborate on zero-order relationships

o Use Excel to help determine these sample characteristics

· Inferential Analysis- draws conclusions about population

o Types of errors

o Issues related to null and alternate hypotheses

o Steps in the Hypothesis Testing Procedure

o Specific statistical tests

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