Stat Tests
"All The Mathematical Methods I Learned In My University Math Degree Became Obsolete In My Lifetime" - Keith Devlin
Z Hypothesis Testing/Confidence Intervals (1 variable):
Enter the parameters of the data (n, m, s). If finding a confidence interval, let alpha=1-CL. If hypothesis testing, let alpha be the accepted level of significance, and let M_0 denote the value of the mean for the null hypothesis. Then click the appropriate folder on the right: (https://www.desmos.com/calculator/imfgeqyeff)
T Hypothesis Testing/Confidence Intervals (1 variable):
Enter the parameters of the data (n, m, s). If finding a confidence interval, let alpha=1-CL. If hypothesis testing, let alpha be the accepted level of significance, and let M_0 denote the value of the mean for the null hypothesis. Then click the appropriate folder on the right: (https://www.desmos.com/calculator/lvvge6pwyg)
Proportion Hypothesis Testing/Confidence Intervals (1 variable):
Enter the parameters of the data (n, p). If finding a confidence interval, let alpha=1-CL. If hypothesis testing, let alpha be the accepted level of significance, and let P_0 denote the value of the proportion for the null hypothesis. Then click the appropriate folder on the right: (https://www.desmos.com/calculator/jxf3c4mg7c)
Z Hypothesis Testing/Confidence Intervals (2 variables):
Enter the parameters of the data (n_1, n_2, m_1, m_2, s_1, s_2). If finding a confidence interval, let alpha=1-CL. If hypothesis testing, let alpha be the accepted level of significance, and let M_0 denote the value of the mean for the null hypothesis. Then click the appropriate folder on the right: (https://www.desmos.com/calculator/cqq2hzoirf)
T Hypothesis Testing/Confidence Intervals (2 variables):
Enter the parameters of the data (n_1, n_2, m_1, m_2, s_1, s_2). If finding a confidence interval, let alpha=1-CL. If hypothesis testing, let alpha be the accepted level of significance, and let M_0 denote the value of the mean for the null hypothesis. Then click the appropriate folder on the right: (https://www.desmos.com/calculator/layz9pfohn)
Proportion Hypothesis Testing/Confidence Intervals (2 variables):
Enter the parameters of the data (n_1, n_2, p_1, p_2). If finding a confidence interval, let alpha=1-CL. If hypothesis testing, let alpha be the accepted level of significance, and let P_0 denote the value of the proportion for the null hypothesis. Then click the appropriate folder on the right: (https://www.desmos.com/calculator/bk57pysrpa)
Chi-Squared Goodness of Fit Test:
Enter into the list the observerved occurences for each category, and in the following list the proportions of expected occurences. What returns is the degrees of freedom, the p-value and the Chi^2 value. (https://www.desmos.com/calculator/vecnvzws22)
Chi-Squared Goodness of Fit Test:
Select and open the proper folder and enter in the data. What returns is degrees of freedom, p-value and Chi^2. (https://www.desmos.com/calculator/if2whxivio)
ANOVA:
Enter into the lists the sample sizes, means and standard deviations respectively. What returns is degrees of freedom, p-value and F. Floating above are degrees of freedom (Group and Error), Total of squares (Group and Error), and Mean squared due to variation (Group and Error).(https://www.desmos.com/calculator/uxbnth2mlv)
Finding the Sample Size: Whether one is working with the z variable or proportions, we should be able to find the size of a sample space for a given maximal Error.
For Z variables, given a standard deviation s, a confidence level C and a maximal error E, we return n, the minimal sample size necessary. (https://www.desmos.com/calculator/xjedi6riqq)
For Proportion variables, given a sample proportion p_hat, a confidence level C and a maximal error E, we return n, the minimal sample size necessary. (https://www.desmos.com/calculator/f4tfvszx51)