How to conduct statistical inference in the R language?

In R language, statistical inference typically involves using statistical models and hypothesis testing to analyze data and draw conclusions. Here are some common statistical inference methods:

  1. Parameter estimation: using sample data to estimate the values of population parameters, such as the mean, standard deviation, proportion, etc. Common methods include maximum likelihood estimation and least squares estimation.
  2. Hypothesis testing is a method used to test hypotheses about population parameters. Common hypothesis testing methods include t-tests, ANOVA analysis, and chi-square tests.
  3. Confidence interval estimation: used to estimate the uncertainty range of population parameters, such as a 95% confidence interval.
  4. Analysis of variance (ANOVA): a method used to compare whether the means of multiple populations are equal, commonly used for handling multiple samples.
  5. Logistic regression: used to investigate the relationship between independent variables and dependent variables, suitable for binary or multiclass problems.

To conduct statistical inference analysis, statistical analysis packages in R such as stats, lme4, and car can be used. Data processing, model building, hypothesis testing, and other operations can be performed by writing R code. Additionally, visualization packages in R such as ggplot2 and lattice can be utilized to display the results of statistical inference.

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