Statistics By Jim

What Are Data Collection Methods? Data collection methods are organized processes for gathering observations and measurements to accurately answer research questions. Whether you study the environment, health, public opinion, or medicine, selecting the appropriate data collection methods ensures that your results are accurate and meaningful. For example, in environmental research, sound methodolo…

Use this ANOVA calculator to perform one-way ANOVA and post hoc comparison tests. Use the classic F-test ANOVA when you can assume group variances are equal or Welch’s ANOVA when they are not equal. Enter your data in either Stacked (i.e., long format) or Unstacked (i.e., wide format). For stacked data, copy and paste and from spreadsheets and the rows will auto-expand to fit your dataset. Ensure…

What is Positive Predictive Value (PPV)? Positive Predictive Value (PPV) assesses a diagnostic test’s accuracy by calculating the probability that a person who tests positive truly has the condition. PPV focuses on how trustworthy a positive result is in real-world testing scenarios. Hence, it is the best measure for interpreting an individual positive test result. Mammography, for example, is a …

Use this median absolute deviation calculator to measure how much your data spread out from the median and find outliers. It finds the absolute median distance that data points fall from the median and values that are unusual far from the median. Just enter or paste your numbers in the data box, separated by commas, spaces, or line breaks. You can copy and paste from spreadsheets. Then click Calc…

What is the Median Absolute Deviation? The median absolute deviation is a measure of variability that indicates the typical distance between observations and the median. Unlike the mean absolute deviation, which uses the average, this method centers on the median, making it more resistant to outliers. The result uses the same units as the data, which helps with interpretation. Larger values signi…

Use this Outlier Calculator to find anomalous values in your dataset using multiple detection methods. Paste or type your numbers into the single input box—values can be separated by commas, spaces, or line breaks. Copy and pasting from a spreadsheet column is acceptable. Text is ignored. Click Analyze in the Outlier Calculator to find unusual values and to generate a results printout you can sav…

Use this percentage calculator to find various percentages. Simply enter both required values in a row and click Calculate! Below the calculator, learn about the importance of percentages and see real-world examples for using the percentage calculator. See all my Statistical Calculators!

Use this Normality Test Calculator to determine whether a dataset is consistent with a normal distribution. Paste or type your numbers into the single input box—values can be separated by commas, spaces, or line breaks. Copy and pasting from a spreadsheet column is acceptable. Text is ignored. Click Analyze to compute core sample statistics (mean, median, standard deviation, range, skewness, and …

Use this 2-sample median bootstrap test calculator to determine whether the difference between two medians is statistically significant. This calculator requires two independent samples and can use continuous or ordinal data. It calculates the p-value and constructs a confidence interval for the difference. Because this calculator evaluates medians, it is a solid choice for skewed data, outliers,…

What is a Fishbone Diagram? A Fishbone Diagram, also known as an Ishikawa Diagram or cause-and-effect diagram, is a tool in Root Cause Analysis that identifies and organizes potential causes of a problem. Named for its resemblance to the skeleton of a fish, the diagram helps teams look beyond surface-level symptoms and consider multiple categories of possible contributing factors. Six Sigma, Lean…

Use this Empirical Rule Calculator to quickly determine the ranges where most values lie in a normal distribution. Using the 68-95-99.7 rule, it calculates the intervals within one, two, and three standard deviations from the mean. Simply enter the population mean and standard deviation, and the calculator shows the corresponding ranges where 68%, 95%, and […] The post Empirical Rule Calculator a…

Use this Normal Distribution Calculator to find probabilities and visualize areas under the normal curve. In the calculator, enter an Observed Value (X), Population Mean (μ), and Standard Deviation (σ). It displays the probability that a value is less than X, greater than X, between the mean and X, within a symmetric range around the […] The post Normal Distribution Calculator appeared first on S…

Use this linear regression calculator to analyze the relationship between two variables using simple linear, quadratic, or cubic models. It finds and graphs the best-fit line, displays the regression equation, and provides key model statistics . Enter your paired data in the spreadsheet-style table—either manually or by pasting multiple cells from a spreadsheet. Ensure that the […] The post Linea…

Use this negative binomial distribution calculator to find the probability of needing a specific number of trials to achieve a set number of events. Enter the event probability (p), the number of events (r), and the total number of trials (X). For example, this negative binomial distribution calculator can tell you the probability that you […] The post Negative Binomial Distribution Calculator ap…

Use this geometric distribution calculator to find the probability of getting the first success on a specific trial in a sequence of independent Bernoulli trials. Enter the probability of success (p) and the number of trials (x) where the first success occurs. You can choose whether the value of x includes the success trial or […] The post Geometric Distribution Calculator appeared first on Stati…

Use this hypergeometric distribution calculator to find the probability of drawing a specific number of successes in a sample taken from a finite population without replacement. Enter the population size (N), the number of successes in the population (K), the sample size (n), and the number of observed successes in the sample (k). For example, […] The post Hypergeometric Distribution Calculator a…

Use this weighted average calculator to find the weighted mean when different values in your dataset carry different levels of importance. Enter your values and their corresponding weights in the table, either by typing directly or pasting from a spreadsheet. You can have up to 300 rows and the table will automatically expand when pasting. […] The post Weighted Average Calculator appeared first o…

Use this standard error calculator to find the standard error of the mean (SEM) for your data. Just enter or paste your values in the data box, separated by commas or spaces, and click Calculate. You can copy and paste from a spreadsheet. This tool works with sample data and automatically computes the sample standard […] The post Standard Error Calculator appeared first on Statistics By Jim .

Use this mean absolute deviation calculator to measure how much your data spread out from the mean. Just enter or paste your numbers in the data box, separated by commas, spaces, or line breaks. You can copy and paste from spreadsheets. Then click Calculate to see how much the values in your dataset differ from […] The post Mean Absolute Deviation Calculator appeared first on Statistics By Jim .

Use this Critical Value Calculator to find the critical values for common statistical tests. This calculator supports Z, t, chi-square (χ²), and F-distributions. To use it, select your test statistic distribution from the dropdown menu. Then, enter the degrees of freedom if required and choose your significance level. Click Calculate to find the critical value(s) […] The post Critical Value Calcu…