What is Inferential Statistics?
Watch the video for a brief overview of the difference between inferential statistics and descriptive statistics:
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Descriptive statistics describes data (for example, a chart or graph) and inferential statistics allows you to make predictions (inferences) from that data. With inferential statistics, you take data from samples and make generalizations about a population.
For example, you might stand in a mall and ask a sample of 100 people if they like shopping at Sears. You could make a bar chart of yes or no answers (that would be descriptive statistics) or you could use your research (and inferential statistics) to reason that around 75-80% of the population (all shoppers in all malls) like shopping at Sears.
There are two main areas of inferential statistics:
Lets say you have some sample data about a potential new cancer drug. You could use descriptive statistics to describe your sample, including:
A bar graph is one way to summarize data in descriptive statistics. Source: NIH.GOV.
With inferential statistics you take that sample data from a small number of people and try to determine if the data can predict whether the drug will work for everyone (i.e. the population). There are various ways you can do this, from calculating a z-score (z-scores are a way to show where your data would lie in a normal distribution to post-hoc (advanced) testing.
A hypothesis test can show where your data is placed on a distribution like this one.
Inferential statistics use statistical models to help you compare your sample data to other samples or to previous research. Most research uses statistical models called the Generalized Linear model and include Students t-tests, ANOVA (Analysis of Variance), regression analysis and various other models that result in straight-line (linear) probabilities and results.
Inferential Statistics Articles
You can find hundreds of inferential statistics articles and videos on this site and on our YouTube channel. The main indexes for inferential statistics articles are:
Gonick, L. The Cartoon Guide to Statistics. 1993.
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Stephanie Glen. "Inferential Statistics: Definition, Uses" From StatisticsHowTo.com: Elementary Statistics for the rest of us! https://www.statisticshowto.com/probability-and-statistics/statistics-definitions/inferential-statistics/
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