Sampling Errors, Type I, and Type II Errors in Research
Sampling error and Type I and II errors are crucial concepts in statistics, particularly in hypothesis testing and inferential analysis. Here's a detailed explanation: 1. Sampling Error Definition : Sampling error occurs when the results obtained from a sample differ from the true values of the population due to the fact that only a subset of the population is studied. Causes : Sample size is too small. Sampling method is biased or non-representative. Random variations in sample selection. Impact : Leads to inaccurate estimations of population parameters (e.g., mean, proportion). Mitigation : Use random sampling methods. Increase sample size to reduce variability. Stratify the population to ensure representation of all subgroups. 2. Type I and Type II Errors In hypothesis testing, these errors occur when conclusions about the null hypothesis ( H 0 H_0 H 0 ) are incorrect: Type I Error (False Positive) : Definition : Rejecting the null hypothesis ( H 0 H_0 H 0 ) when it is a...