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Statistics By Jim

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Data Collection Methods: Step-By-Step Guide with Examples

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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 methodology helps scientists uncover valuable insights about ecosystems, pollution, wildlife, and climate change. [Read more…] about Data Collection Methods: Step-By-Step Guide with Examples

Filed Under: Basics Tagged With: conceptual, data types

ANOVA Calculator

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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 that outcome data are in the first column and group information in the second. For unstacked data, you’ll need to specify the number of groups and paste each group’s data into separate boxes. Choose your ANOVA options  and click Analyze to generate the results. If you include the variable names in the header, they will appear in the results. [Read more…] about ANOVA Calculator

Filed Under: Calculators

Positive Predictive Value: Meaning, Formula, and Interpretation

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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 well-known case where PPV plays a central role in understanding what a positive test result really means. [Read more…] about Positive Predictive Value: Meaning, Formula, and Interpretation

Filed Under: Basics Tagged With: analysis example, conceptual, formula, interpreting results, test accuracy

Median Absolute Deviation Calculator

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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 Calculate to see how much the values in your dataset differ from the median. [Read more…] about Median Absolute Deviation Calculator

Filed Under: Calculators

Median Absolute Deviation: Definition, Finding & Formula

By Jim Frost Leave a Comment

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 signify that the data points spread further from the median, while lower values mean they cluster more tightly around it. Statisticians frequently abbreviate it as MAD, but sometimes use MADM to avoid confusion with the mean absolute deviation. [Read more…] about Median Absolute Deviation: Definition, Finding & Formula

Filed Under: Basics Tagged With: choosing analysis, conceptual, distributions

Outlier Calculator

By Jim Frost Leave a Comment

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 save or share. [Read more…] about Outlier Calculator

Filed Under: Calculators

Percentage Calculator

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Use this percentage calculator to find various percentages. Simply enter both required values in a row and click Calculate! [Read more…] about Percentage Calculator

Filed Under: Calculators

Normality Test Calculator

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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 excess kurtosis), and to generate a results printout you can save or share. [Read more…] about Normality Test Calculator

Filed Under: Calculators

2-Sample Median Bootstrap Test Calculator

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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, and ordinal scales (e.g., Likert items). You can copy and paste your data or type it in, up to 2000 rows. The editable headers are used in the results.
[Read more…] about 2-Sample Median Bootstrap Test Calculator

Filed Under: Calculators

Fishbone Diagram

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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 a fish skeleton, the diagram helps teams look beyond surface-level symptoms and consider multiple categories of potential contributing factors. [Read more…] about Fishbone Diagram

Filed Under: Graphs Tagged With: quality improvement

Empirical Rule Calculator

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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 99.7% of the data are expected to fall. [Read more…] about Empirical Rule Calculator

Filed Under: Calculators

Normal Distribution Calculator

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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 mean, and outside that range. The calculator also includes clear, shaded graphs for each probability and a step-by-step breakdown of the z-score calculation. [Read more…] about Normal Distribution Calculator

Filed Under: Calculators

Linear Regression Calculator

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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 first column contains the dependent variable (Y) and the second column is the independent variable (X). The table can handle up to 300 rows and will expand automatically when you paste in the data. Choose your regression model and click Analyze to generate the results. If you include the variable names in the header, they will appear in the results. [Read more…] about Linear Regression Calculator

Filed Under: Calculators

Negative Binomial Distribution Calculator

By Jim Frost Leave a Comment

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 will get 8 heads in 10 coin tosses when the probability of each head is 0.5. [Read more…] about Negative Binomial Distribution Calculator

Filed Under: Calculators

Geometric Distribution Calculator

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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 only counts the failures before the first success. For example, this geometric distribution calculator can determine the probability that your first successful outcome happens on the fourth attempt, given a 20% chance of success each time. [Read more…] about Geometric Distribution Calculator

Filed Under: Calculators

Hypergeometric Distribution Calculator

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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, this hypergeometric distribution calculator can tell you the probability of getting 3 red marbles when drawing 5 from a jar containing 10 red marbles and 30 blue marbles. [Read more…] about Hypergeometric Distribution Calculator

Filed Under: Calculators

Weighted Average Calculator

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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. Click Calculate to see the weighted average based on your data. [Read more…] about Weighted Average Calculator

Filed Under: Calculators

Standard Error Calculator

By Jim Frost Leave a Comment

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 deviation and the standard error for your dataset. [Read more…] about Standard Error Calculator

Filed Under: Calculators

Mean Absolute Deviation Calculator

By Jim Frost Leave a Comment

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 average. [Read more…] about Mean Absolute Deviation Calculator

Filed Under: Calculators

Critical Value Calculator

By Jim Frost Leave a Comment

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) for your test. [Read more…] about Critical Value Calculator

Filed Under: Calculators

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    Top Posts

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    Recent Posts

    • Data Collection Methods: Step-By-Step Guide with Examples
    • ANOVA Calculator
    • Positive Predictive Value: Meaning, Formula, and Interpretation
    • Median Absolute Deviation Calculator
    • Median Absolute Deviation: Definition, Finding & Formula
    • Outlier Calculator

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