NP Chart with SigmaXL

What is an NP Chart? The NP chart is a control chart monitoring the count of defectives. It plots the number of defectives in one subgroup as a data point. The subgroup size of the NP-chart is constant. The underlying distribution of this control chart is binomial distribution. NP Chart Equations NP-chart Data Point: Center…

Read More

Xbar S Chart with SigmaXL

What is a Xbar S Chart? The X-S chart (also called Xbar S chart) is a control chart for continuous data with a constant subgroup size greater than ten. The Xbar chart plots the average of a subgroup as a data point. The S chart plots the standard deviation within a subgroup as a data…

Read More

Two Sample Proportion with SigmaXL

What is the Two Sample Proportion Test? The two sample proportion test is a hypothesis test to compare the proportions of one certain event occurring in two populations following the binomial distribution. [unordered_list style=”star”] Null Hypothesis(H0): p1 = p2 Alternative Hypothesis(Ha): p1 ≠ p2 [/unordered_list] Two Sample Proportion Test Assumptions [unordered_list style=”star”] The sample data…

Read More

One Sample Proportion with SigmaXL

What is the One Sample Proportion Test? One sample proportion test is a hypothesis test to compare the proportion of one certain outcome (e.g. the number of successes per the number of trials, or the number of defects per the total number of opportunities) occurring in a population following the binomial distribution with a specified…

Read More

One Sample Wilcoxon with SigmaXL

What is the One Sample Wilcoxon Test? The one sample Wilcoxon test is a hypothesis test to compare the median of one population with a specified value. [unordered_list style=”star”] Null Hypothesis (H0): η = η0 Alternative Hypothesis (Ha): η ≠ η0 [/unordered_list] It is an alternative test of one sample t-test when the distribution of the data is…

Read More

P Chart with SigmaXL

What is a P Chart? The P chart plots the percentage of defectives in one subgroup as a data point. It considers the situation when the subgroup size of inspected units is not constant. The underlying distribution of the P-chart is binomial distribution. P Chart Equations Data Point:         Center Line:  …

Read More

U Chart with SigmaXL

What is a U Chart? The U chart is a type of control chart used to monitor discrete (count) data where the sample size is greater than one, typically the average number of defects per unit. Defect vs. Defective Remember the difference between defect and defective? A defect of a unit is the unit’s characteristic…

Read More

Mann Whitney Testing with SigmaXL

What is the Mann Whitney Test? The Mann Whitney test (also called Mann–Whitney U test or Wilcoxon rank-sum test) is a statistical hypothesis test to compare the medians of two populations that are not normally distributed. In a non-normal distribution, the median is the better representation of the center of the distribution. [unordered_list style=”star”] Null…

Read More

One Way ANOVA with SigmaXL

What is One Way ANOVA? One way Analysis of Variance is a statistical method to compare means of two or more populations. It is a generalized form of the two sample t-test since a two sample t-test compares two population means and one way ANOVA compares k population means where k ≥ 2. [unordered_list style=”star”] Null Hypothesis…

Read More

Paired t Test with SigmaXL

Paired t Test The third type of a Two Sample t-Test is the Paired t Test.  This test is used when the two populations are dependent of each other, so each data point from one distribution corresponds to a data point in the other distribution. When using a paired t test, the test statistic is calculated…

Read More