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## Statistics, regression, neural nets, PCA, plotting, and much more

# Websites for Statistics and Data Analysis on Every Device

## My selection of online tools for data analysis in web browsers.

**Quick links: ****Online Statistics**** | ****Online Regression & fitting**** | ****Online PCA**** | ****Online math environment**** | ****About client-side web programming**

Ever wanted to do a quick statistical test, regression, principal components analysis, or some simple descriptive statistics, but you had nothing more than your smartphone at hand? Here is a selection of web-based tools to run these analyses on any browser. Some of these tools run on the clients, which gives me the chance to put the spotlight on the power of client-side web programming.

# A great resource with free tools for online statistics: SocialScienceStatistics.com

I cannot more than recommend this website, which offers online tools to compute descriptive statistics, carry out hypothesis testing, calculate p-values, and even plot some simple plots including histograms:

**https://www.socscistatistics.com/**

**It’s not mine and I don’t get any gains for promoting it! I just showcase it because it’s super useful and handy.**

Although the website promotes itself as tailored for students and researchers working with statistics in the social sciences, the tools are actually broad enough that can be applied in all disciplines dealing with data analysis. I mean, the website doesn’t use any jargon specific to the social sciences.

All the tools in this website were designed with ease of use and clarity of presentation in mind. And this was excellently achieved, IMO. Certainly, you should find it much easier to use than any *ad hoc *statistics or mathematics program -of course at the expense of some limitations. Importantly, the output of the tools in this website has been audited for accuracy against the output produced by regular, “established” programs.

## Tools offered by SocialScienceStatistics.com

The website has three main sections: statistical calculators, which deals mainly with hypothesis testing; p-value calculators, which allow you to derive p-values from *Z*, *t*, chi-square, and Pearson (*r*); and descriptive statistics — averages, variance, a standard deviation calculator, and easy histogram and bar chart makers. Let me give you below some details and show you some examples:

**Descriptive statistics****:** Given an input dataset the tools in this module return from simple average, median, mode, standard deviations, etc. to interquartile ranges, skewness and kurtosis calculators, and some quick data plotters: a quick histogram builder, where you simply enter a list of values and get back the histogram in a single click, and a quick bar chart generator where you either enter labels with associated counts or even just the source data from which the app will automatically compute frequencies and show the plot.

**See these examples:**

Just to show an example that is not a simple calculation of means, medians, or modes, one of the many tools for descriptive statistics calculates the coefficient of variation from a list of numbers. List all other tools in this website, you input the data on a textbox (you can just copy-paste from any regular spreadsheet program), then make some selections and click *Calculate*.

Another example representative of the kinds of analyses you can carry out in this website is this simple tool to calculate kurtosis and skewness:

If you prefer to inspect how your data distribute, it’s probably better to plot a histogram. This great tool from the website makes histograms very easy for you; just input the observations and click *Generate*.

With another tool you can easily make and compare histograms for three independent sets of data:

Both histogram tools give you not only the plots but also the computed bins and frequencies, which you can copy out to a separate program to remake the plots as you prefer. Moreover, the web tools allow you to fine-tune the ranges of the x-axis and add labels to the data and remake the plots right there.

**Statistic tests**: From two or more datasets, with various tools of the website you can compute ANOVA for independent or repeated measures with up to 5 treatments; also Fisher tests, Mann-Whitney, tests, Wilcoxon tests, various t-tests, and Chi-square tests; linear regression and 2-input multiple linear regression; tests for correlations including regular Pearson correlation and also Spearman correlation; calculations of p-values and confidence intervals, and various utilities for data conversion and transformation.

I show you as an example a tool I use often, to compare observations with a t-test. As in all other tools of the website, you input the data (here two sets of numbers), make some selections (here the cutoff p-value and whether the problem implies one- or two-tailed hypothesis), and click *Calculate*. You immediately get the results with all intermediate calculations and a conclusion on whether you’d accept or reject the hypothesis at the chosen p.

**A wizard that helps you decide which statistics you need for a given question:** This wizard guides you step by step through questions and based on your answers it recommends the statistical test that most likely suits the question you want to address.

Actually, most tools in the whole site are quite attentive to the kinds of data you are inputting and what questions you may have in mind. Thus it warns you on the go when the calculation you are running might not be appropriate.

Besides, the website includes** ****tutorials on statistics**** **about various topics on statistics through the SPSS software, including how to report results.

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