[+] Analysis of Variance (ANOVA) Performs 1 way analysis of variance or 2 way analysis of variance on a set of data with critical value test and conclusion. |

[+] Basic StatisticsGiven a number set, and an optional probability set, this calculates the following statistical items: |

[+] Bayes RuleCalculates the conditional probabilities of (B given A) of 2 events and a conditional probability event using Bayes Rule |

[+] Bernoulli TrialsGiven a success probability p and a number of trials (n), this will simulate Bernoulli Trials and offer analysis using the Bernoulli Distribution. Also calculates the skewness, kurtosis, and entropy |

[+] Binomial DistributionCalculates the probability of 3 separate events that follow a binomial distribution. It calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, standard deviation, skewness and kurtosis. |

[+] Chebyshevs TheoremUsing Chebyshevs Theorem, this calculates the following: |

[+] Chi-Square χ^{2} TestThis calculator determines a χ |

[+] Chi-Square Critical ValuesGiven a probability, this calculates the critical value for the right-tailed and left-tailed tests for the Chi-Square Distribution. CHIINV from Excel is used as well. |

[+] Class Frequency Goodness of FitPerforms a goodness of fit test on a set of data with class boundaries (class boundary) with critical value test and conclusion. |

[+] Coin Toss ProbabilityThis calculator determines the following coin toss probability scenarios |

[+] Confidence Interval for the MeanCalculates a (90% - 99%) estimation of confidence interval for the mean given a small sample size using the student-t method with (n - 1) degrees of freedom or a large sample size using the normal distribution Z-score (z value) method including Standard Error of the Mean |

[+] Confidence Interval for Variance and Standard DeviationCalculates a (95% - 99%) estimation of confidence interval for the standard deviation or variance using the χ |

[+] Confidence Interval of a ProportionGiven N, n, and a confidence percentage, this will calculate the estimation of confidence interval for the population proportion π including the margin of error |

[+] Confidence Interval/Hypothesis Testing for the Difference of MeansGiven two large or two small distriutions, this will determine a (90-99)% estimation of confidence interval for the difference of means for small or large sample populations. |

[+] Container ArrangementsGiven a set of items inside a container, this calculates the probability that you draw certain items in the following fashion: |

[+] Covariance and Correlation coefficient (r) and Least Squares Method and Exponential FitGiven two distributions X and Y, this calculates the following: |

[+] Critical Values for F-testCalculate a critical value for the F-Test statistic based on DF1, DF2, and α |

[+] Critical Z-valuesGiven a probability from a normal distribution, this will generate the z-score critical value. Uses the NORMSINV Excel function. |

[+] Difference of Proportions TestCalculates a test statistic and conclusion for a hypothesis for the difference of proportions |

[+] Event LikelihoodGiven a probability, this determines how likely that event is |

[+] Expected FrequencyGiven a contingency table (two-way table), this will calculate expected frequencies and then determine a conclusion based on a Χ |

[+] Exponential DistributionCalculates the Probability Density Function (PDF) and Cumulative Density Function (CDF) of the exponential distribution as well as the mean, variance, standard deviation, and entropy. |

[+] Exponential SmoothingPerforms exponential smoothing on a set of data. |

[+] F Test StatisticCalculates the F-test statistic for two populations |

[+] Fisher Transformation and Fisher InverseGiven a correlation coefficient (r), this calculates the Fisher Transformation (z). |

[+] Fishers Exact TestGiven a, b, c, and d, this calculates the probability of any such set of values using Fishers exact Test |

[+] Frequency Distribution TableDetermines the classes and frequency distribution using the 2 to k rule. |

[+] Fundamental Rule of CountingGiven a set of items, this calculates the total number of groups/choices that can be formed using the rule of product. |

[+] Geometric DistributionUsing a geometric distribution, it calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, standard deviation, skewness, and kurtosis. |

[+] Grand MeanCalculates the grand mean of a set of number sets. |

[+] Hypergeometric DistributionCalculates the probability of drawing x objects out of a subgroup of k with n possibilities in a total group of N using the hypergeometric distribution. |

[+] Hypothesis Testing for a proportionPerforms hypothesis testing using a test statistic for a proportion value. |

[+] Hypothesis testing for the meanPerforms hypothesis testing on the mean both one-tailed and two-tailed and derives a rejection region and conclusion |

[+] MAPE - MPE - MAPDGiven a time series of actual and forecasted values, this determines the following: |

[+] Margin of Error from Confidence IntervalGiven a confidence interval, this determines the margin of error and sample mean. |

[+] Mcnemar TestGiven a 2 x 2 contingency table and a significance level, this will determine the test statistic, critical value, and hypothesis conclusion using a Mcnemar test. |

[+] Missing AverageGiven a set of scores and an average, this calculates the next score necessary to attain that average |

[+] Multinomial DistributionGiven a set of x |

[+] Negative Binomial DistributionCalculates the probability of the k |

[+] Normal DistributionCalculates the probability that a random variable is less than or greater than a value or between 2 values using the Normal Distribution z-score (z value) method (Central Limit Theorem). |

[+] Odds ProbabilityGiven an odds prediction m:n of an event success, this calculates the probability that the event will occur or |

[+] Odds RatioThis calculator determines the odds ratio for 2 groups X and Y with success and failure for an outcome. |

[+] P-Hat Confidence IntervalGiven a large sized distribution, and a success amount for a certain criteria x, and a confidence percentage, this will calculate the confidence interval for that criteria. |

[+] Paired Means DifferenceCalculates an estimation of confidence interval for a small or large sample difference of data |

[+] Percentile for Normal DistributionGiven a mean, standard deviation, and a percentile range, this will calculate the percentile value. |

[+] PercentilesGiven a set of scores and a target score, this will determine the percentile of the target score using two different formulas. |

[+] Point Estimate and Margin of ErrorGiven an upper bound and a lower bound and a sample size, this calculate the point estimate, margin of error. |

[+] Poisson DistributionCalculates the probability of 3 separate events that follow a poisson distribution. |

[+] Probability (A U B U C)Calculates the probability of a union of a three event sample space, A, B, and C, as well as P(A), P(B), P(C), P(A ∩ B), P(A ∩ C), P(B ∩ C), P(A ∩ B ∩ C). |

[+] Probability (A U B)Given a 2 event sample space A and B, this calculates the probability of the following events: |

[+] Proportion Sample SizeThis calculator determines a sample size to select to meet certain criteria related to a confidence percentage, reliability percentage, and a p value proportion. Simply enter your values not using percentage signs. This works whether p^ is known or not known. |

[+] Random Sampling from the Normal DistributionThis performs hypothesis testing on a sample mean with critical value on a sample mean or calculates a probability that Z <= z or Z >= z using a random sample from a normal distribution. |

[+] Random TestGiven a set of data and an α value, this determines the test statistic and accept/reject hypothesis based on randomness of a dataset. |

[+] Rule of SuccessionGiven s successes in n independent trials, this calculates the probability that the next repetition is a success |

[+] Sample Size Reliability for μGiven a population standard deviation σ, a reliability (confidence) value or percentage, and a variation, this will calculate the sample size necessary to make that test valid. |

[+] Sample Size Requirement for the Difference of MeansGiven a population standard deviation 1 of σ |

[+] Sample Space ProbabilityGiven a sample space S and an Event Set E, this calculates the probability of the event set occuring. |

[+] Sign TestThis will determine whether to accept or reject a null hypothesis based on a number set, mean value, alternative hypothesis, and a significance level using the Sign Test. |

[+] Student-t Distribution Critical ValuesGiven an α value and degrees of freedom, this calculates the right-tailed test and left-tailed test critical values for the Student-t Distribution |

[+] Tabular DisplayEnter a set of x and p(x) in a tabular probability distribution format and this will evaluate if it is valid or not. |

[+] Trimmed Mean and Winsorized MeanGiven a number set and a trimmed mean percentage, this will calculate the trimmed mean (truncated mean) or winsorized mean. |

[+] Uniform DistributionThis calculates the following items for a uniform distribution |

[+] Venn Diagram (2 circles)Given two circles A and B with an intersection piece of C, this will calculate all relevant probabilities of the Venn Diagram. |

[+] Z Score LookupGiven a Z-score probability statement from the list below, this will determine the probability using the normal distribution z-table. |