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HomeHomework HelpstatisticsInferential Statistics

Inferential Statistics

A branch of statistics that involves making predictions or inferences about a population based on sample data, including introduction to hypothesis testing and statistical analysis

intermediate
5 hours
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Overview

Inferential statistics is a vital area of statistics that enables researchers to draw conclusions about a larger population based on a smaller sample. By using techniques such as hypothesis testing, confidence intervals, and regression analysis, inferential statistics provides tools for making predi...

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Key Terms

Sampling
The process of selecting a subset of individuals from a population to estimate characteristics of the whole population.

Example: Random sampling ensures every individual has an equal chance of being selected.

Null Hypothesis
A statement that there is no effect or no difference, used as a starting point for statistical testing.

Example: The null hypothesis states that a new drug has no effect on patients.

P-Value
The probability of obtaining test results at least as extreme as the observed results, assuming the null hypothesis is true.

Example: A p-value of 0.05 indicates a 5% chance of observing the data if the null hypothesis is true.

Confidence Interval
A range of values that is likely to contain the population parameter with a certain level of confidence.

Example: A 95% confidence interval for a mean might be (10, 15).

T-Test
A statistical test used to compare the means of two groups.

Example: A t-test can determine if the average test scores of two classes are significantly different.

ANOVA
Analysis of Variance, a statistical method used to compare means among three or more groups.

Example: ANOVA can test if different teaching methods lead to different student performance.

Related Topics

Descriptive Statistics
Descriptive statistics summarize and describe the features of a dataset, providing a foundation for inferential statistics.
beginner
Probability Theory
Probability theory underpins inferential statistics, helping to understand the likelihood of events and outcomes.
intermediate
Data Analysis Techniques
Data analysis techniques encompass various methods for analyzing data, including both descriptive and inferential statistics.
intermediate

Key Concepts

SamplingHypothesis TestingConfidence IntervalsRegression Analysis