Related Experiment Video
Updated: Aug 9, 2026
07:13
A Two-interval Forced-choice Task for Multisensory Comparisons
Published on: November 9, 2018
Two-sided confidence intervals for the single proportion: comparison of seven methods
1University of Wales College of Medicine, Heath Park, Cardiff, U.K.
Statistics in Medicine
|May 22, 1998
Summary
Simple interval estimate methods for proportions often fail, providing inaccurate results. Tail area and simpler score methods are recommended for reliable proportion estimation, ensuring better coverage and usability.
Area of Science:
- Statistics
- Biostatistics
- Statistical Inference
Background:
- Simple interval estimation methods for proportions frequently demonstrate inadequate coverage.
- These methods can yield inappropriate intervals, impacting statistical reliability.
Purpose of the Study:
- To evaluate and recommend superior interval estimation methods for proportions.
- To assess methods based on coverage probability, interval location, width, and practical usability.
Main Methods:
- Evaluation of seven distinct single-proportion interval estimation methods.
- Comprehensive assessment across 96,000 parameter space points.
Main Results:
- Intervals derived from tail area and simpler score methods showed superior performance.
- These recommended methods offer improved coverage accuracy and practical utility.
Conclusions:
- Tail area and simpler score methods are recommended for proportion interval estimation.
- These methods provide options to align minimum or mean coverage with nominal values, enhancing statistical practice.
Related Concept Videos
01:21Confidence Intervals
An unbiased point estimate is often insufficient to predict a population estimate, such as population mean or population proportion. In this scenario, a confidence interval is used. A confidence interval is an estimate similar to a sample proportion. However, unlike the point estimate which is a single value, the confidence interval contains a range of values. These values have lower and upper limits, known as confidence limits, and can be designated as L1 and L2, respectively.
A confidence...
A confidence...
01:19Interpretation of Confidence Intervals
A confidence interval is a better estimate of the population than a point estimate, as it uses a range of values from a sample instead of a single value.
Confidence intervals have confidence coefficients that are crucial for their interpretation. The most common confidence coefficients are 0.90, 0.95, and 0.99, which can be written as percentages–90%, 95%, and 99%, respectively.
Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
Confidence intervals have confidence coefficients that are crucial for their interpretation. The most common confidence coefficients are 0.90, 0.95, and 0.99, which can be written as percentages–90%, 95%, and 99%, respectively.
Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
01:24Testing a Claim about Population Proportion
A complete procedure for testing a claim about a population proportion is provided here.
There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data.
The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data.
The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
01:15One-Way ANOVA: Equal Sample Sizes
One-Way ANOVA can be performed on three or more samples with equal or unequal sample sizes. When one-way ANOVA is performed on two datasets with samples of equal sizes, it can be easily observed that the computed F statistic is highly sensitive to the sample mean.
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
Different sample means can result in different values for the variance estimate: variance between samples. This is because the variance between samples is calculated as the product of the sample size and the variance between the...
01:15One-Way ANOVA: Unequal Sample Sizes
One-way ANOVA can be performed on three or more samples of unequal sizes. However, calculations get complicated when sample sizes are not always the same. So, while performing ANOVA with unequal samples size, the following equation is used:
01:10Bonferroni Test
The Bonferroni test is a statistical test named after Carlo Emilio Bonferroni, an Italian mathematician best known for Bonferroni inequalities. This statistical test is a type of multiple comparison test to determine which means are different than the rest. Bonferroni test can minimize the Type 1 error by reducing the significance level alpha, which otherwise increases with sample pairs.
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...