Parametric Tests

‘Parametric Tests’ panel is used to estimate the population parameters (e.g. mean, variance and proportion) and compare them between groups, time points or user-specified custom values, when the parametric assumptions are met. Required test assumptions (e.g. data normality, variance homogeneity) are also available in each module, to assist the users on their decision to perform (or not perform) the right test module.

One Proportion Test

How to select this module?

Parametric Tests

_images/step.png

One Proportion Test

General aim

  • This module can be used to estimate the proportion of the population and compare whether it differs from a specified reference value.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of categorical data and estimate the proportion of the population.
  • Compare the estimated proportion with a specified reference value.
  • Use asymptotic or exact test procedures in computation of p values.
  • Display the data distribution of variables with interactive bar plots either for counts or percentages.

Usage

Step 1: Define your variables from “Variables” tab:

  • Select categorical variable(s) of interest(s) for descriptive statistics and comparison
  • Enter the test proportion (the proportion to be compared)
  • Use “Sample Input” if you will enter the necessary values of summarised data instead of using the entire data
  • Click Run button to execute the analysis.

oneProportionVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing.
  • Select the type of alternative hypothesis.

oneProportionStatistics

“Graphs” tab

  • Choose either counts or percentages to generate the bar plot(s).

oneProportionGraphs

“Options” tab

  • Choose p value computation option as asymptotic or exact.
  • Identify the category that indicates the success.

oneProportionOptions

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables.
  • Switch between variables and table representations using combo-box button.

oneProportionResults
oneProportionResults

  • Display the One Proportion Test results

oneProportionTestResults
oneProportionTestResults

  • Display interactive plots:
  • Bar plot

oneProportionScatterPlot

Two Proportions Test

How to select this module?

Parametric Tests

_images/step.png

Two Proportions Test

General aim

  • This module can be used to estimate the proportions of two independent populations and compare them each other.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of categorical data and estimate the proportions of two independent populations.
  • Compare the estimated proportions each other.
  • Use asymptotic or exact test procedures in computation of p values.
  • Display the data distribution of variables with interactive bar plots either for counts or percentages.

Usage

Step 1: Define your variables from “Variables” tab:

  • Select response categorical variable(s) of interest(s) that will be used for comparison.
  • Select group variable(s) of interest(s) whose categories will be compared with each other.
  • Use “Sample Input” if you will enter the necessary values of summarised data instead of using the entire data.
  • Click Run button to execute the analysis.

twoProportionsVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing.
  • Select the type of alternative hypothesis.

twoProportionsStatistics

“Graphs” tab

  • Choose either counts or percentages to generate the bar plot(s).

twoProportionsGraphs

“Options” tab

  • Identify the group variable categories that will be compared with each other.
  • Choose p value computation option as asymptotic or exact.
  • Identify the category that indicates the success.
  • Manage missing values with either complete case or by variable deletion.

twoProportionsOptions

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables.
  • Switch between variables using combo-box button.

twoProportionsResults
twoProportionsResults

  • Display the Two Proportion Test results.

twoProportionsTestResults
twoProportionsTestResults

  • Display interactive plots:
  • Bar plot

twoProportionsScatterPlot

One Sample t Test

How to select this module?

Parametric Tests

_images/step.png

One Sample t Test

General aim

  • This module can be used to estimate the mean of the population and compare whether it differs from a specified reference value.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of numerical data and estimate the mean of the population.
  • Compare the estimated mean with a specified reference value.
  • Display the data distribution of variables with interactive error bar plots and boxplots.
  • Test whether the data distributed normally or not using Shapiro-Wilk’s test.

Usage

Step 1: Define your variables from “Variables” tab:

  • Select numerical variable(s) of interest(s) for descriptive statistics and comparison.
  • Enter the test value (the mean to be compared).
  • Click Run button to execute the analysis.

oneSampleTVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing.
  • Check the box for Shapiro-Wilk’s normality test.
  • Select the type of alternative hypothesis.

oneSampleTStatistics

“Graphs” tab

  • Choose one or more available graphs: Error bar and Box Plot.
  • Identify what the error bars will represent: confidence intervals, standard errors or standard deviations.

oneSampleTGraphs

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables.
  • Switch between variables using combo-box button.
  • Click ‘Show All’ to display results for all variables in same screen.

oneSampleTResults
oneSampleTResults

  • Display Shapiro-Wilk’s Normality Test result

oneSampleTTestResults

  • Display one sample t test result.

oneSampleTTestResults

  • Display interactive plots:
  • Error bar

oneSampleTScatterPlot

  • Error bar

oneSampleTScatterPlot

Independent Two Samples t Test

How to select this module?

Parametric Tests

_images/step.png

Independent Two Samples t Test

General aim

  • This module can be used to estimate the mean of two independent populations and compare them each other.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of numerical data and estimate the means of two independent populations.
  • Compare the estimated means each other using t test.
  • Compare the estimated means each other using Welch test, if the group variances are heterogeneous to each other.
  • Display the data distribution of variables with interactive error bar plots and boxplots.
  • Test whether the data distributed normally or not using Shapiro-Wilk’s test.
  • Test whether the group variances are homogeneous to each other.

Usage

Step 1: Define your variables from “Variables” tab:

  • Select response numerical variable(s) of interest(s) that will be used for comparison.
  • Select group variable(s) of interest(s) whose categories will be compared with each other.
  • Change the test value if necessary (to test whether the mean differences are equal to a specified test value).
  • Click Run button to execute the analysis.

independentTwoSamplesTVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing.
  • Check the box for Shapiro-Wilk’s normality test.
  • Check the box for Levene variance homogeneity test with the location median or mean.
  • Select the type of alternative hypothesis.

independentTwoSamplesTStatistics

“Graphs” tab

  • Choose one or more available graphs: Error bar and Box Plot.
  • Identify what the error bars will represent: confidence intervals, standard errors or standard deviations.

independentTwoSamplesTGraphs

“Options” tab

  • Identify the group variable categories that will be compared with each other.
  • Manage missing values with either complete case or by variable deletion.

independentTwoSamplesTGraphs

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables.
  • Switch between variables using combo-box button.

oneSampleTResults
independentTwoSamplesTResults

  • Display Shapiro-Wilk’s Normality Test result.

independentTwoSamplesTTestResults

  • Display Levene variance homogeneity test result.

independentTwoSamplesTTestResults

  • Display the Independent Two Samples t Test results.

oneSampleTTestResults
independentTwoSamplesTTestResults

  • Display Welch Test result if the group variances are heterogeneous to each other

oneSampleTTestResults
independentTwoSamplesTTestResults

  • Display interactive plots:
  • Error bar

independentTwoSamplesTScatterPlot

  • Error bar

independentTwoSamplesTScatterPlot

Dependent Two Samples t Test

How to select this module?

Parametric Tests

_images/step.png

Dependent Two Samples t Test

General aim

  • This module can be used to estimate and compare the mean of two dependent populations and compare them each other.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of numerical data and estimate the means of two dependent populations.
  • Compute several descriptive statistics for differences.
  • Compare the estimated paired means each other.
  • Compute the correlation estimates between paired samples.
  • Display the data distribution of variables with interactive error bar plots and boxplots.
  • Test whether the data distributed normally or not using Shapiro-Wilk’s test.

Usage

Step 1: Define your variables from “Variables” tab:

  • Select the first numerical variable(s) of interest(s) from ‘Variable One’.
  • Select the second numerical variable(s) of interest(s) from ‘Variable Two’.
  • Change the test value if necessary (to test whether the mean differences are equal to a specified test value).
  • Click Run button to execute the analysis.

dependentTwoSamplesTVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing.
  • Check the box for Shapiro-Wilk’s normality test.
  • Check the box for paired correlations.
  • Check the box for descriptive statistics for differences (%)
  • Select the type of alternative hypothesis

dependentTwoSamplesTStatistics

“Graphs” tab

  • Choose one or more available graphs: Error bar and Box Plot
  • Identify what the error bars will represent: confidence intervals, standard errors or standard deviations

dependentTwoSamplesTGraphs

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables
  • Switch between variables using combo-box button

oneSampleTResults
dependentTwoSamplesTResults

  • Display Shapiro-Wilk’s Normality Test result.

dependentTwoSamplesTTestResults

  • Display the correlation estimates between paired samples.

oneSampleTTestResults
dependentTwoSamplesTTestResults

  • Display the Dependent Two Samples t Test results.

oneSampleTTestResults
dependentTwoSamplesTTestResults

  • Display interactive plots:
  • Error bar

dependentTwoSamplesTScatterPlot

  • Error bar

dependentTwoSamplesTScatterPlot

One Way ANOVA Test

How to select this module?

Parametric Tests

_images/step.png

One-Way ANOVA Test

General aim

  • This module can be used to estimate the mean of two or more independent populations and compare them each other.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of numerical data and estimate the means of two dependent populations.
  • Compare the estimated means each other using F test.
  • Compare the estimated means each other using Welch test, if the group variances are heterogeneous to each other.
  • Apply pairwise comparisons with one or more available post-hoc tests.
  • Display the data distribution of variables with interactive error bar plots and boxplots.
  • Test whether the data distributed normally or not using Shapiro-Wilk’s test.
  • Test whether the group variances are homogeneous to each other.

Usage

Step 1: Define your variables from “Variables” tab:

  • Select response numerical variable(s) of interest(s) that will be used for comparison
  • Select group variable(s) of interest(s) whose categories will be compared with each other

oneWayANOVAVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing.
  • Check the box for Shapiro-Wilk’s normality test.
  • Check the box for Levene variance homogeneity test with the location median or mean.
  • Check the box for Welch test.

oneWayANOVAStatistics

“Graphs” tab

  • Choose one or more available graphs: Error bar and Box Plot
  • Identify what the error bars will represent: confidence intervals, standard errors or standard deviations

oneWayANOVAGraphs

“Options” tab

  • Manage missing values with either complete case or by variable deletion.

oneWayANOVAGraphs

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables.
  • Switch between variables using combo-box button.

oneWayANOVAResults

  • Display Shapiro-Wilk’s Normality Test result

oneWayANOVATestResults

  • Display the One-Way ANOVA results

oneSampleTTestResults

  • Display Levene variance homogeneity test result.

oneWayANOVATestResults

  • Display Welch Test result if the group variances are heterogeneous to each other.

oneWayANOVATestResults

  • Display interactive plots:
  • Error bar

oneWayANOVAErrorBar

  • Error bar

oneWayANOVABoxPlot

Two Way ANOVA Test

How to select this module?

Parametric Tests

_images/step.png

Two-Way ANOVA Test

General aim

  • This module can be used to estimate and compares whether the group means are different in case of two categorical factor variables.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of numerical data and estimate the means in case of two categorical factor variables.
  • Compare the estimated means in case of two categorical factor variables using F test.
  • Apply pairwise comparisons with one or more available post-hoc tests.
  • Display the data distribution of variables with main effects and interaction plots.
  • Test whether the data distributed normally or not using Shapiro-Wilk’s test.
  • Test whether the group variances are homogeneous to each other.

Usage

Step 1: Define your variables from “Variables” tab:

  • Select response numerical variable(s) of interest(s) that will be used for comparison.
  • Select two group variables of interests whose effect on the response variable is investigated.

twoWayANOVAVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing
  • Check the box for Shapiro-Wilk’s normality test
  • Check the box for Levene variance homogeneity test with the location median or mean

twoWayANOVAStatistics

“Graphs” tab

  • Choose one or more available graphs: Main Effects Plot and Interaction Plot
  • Identify the style of display: only means or mean and error bars

twoWayANOVAGraphs

“Options” tab

  • Identify the contrasts for each factor: treatment, polynomial, helmert or sum
  • Select the type of sum of squares: type I, type II or type III
  • Manage missing values with either complete case or by variable deletion
  • Select the type of Anova model: full model or main effects model

twoWayANOVAGraphs

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables
  • Switch between variables using combo-box button

twoWayANOVAResults
twoWayANOVAResults

  • Display Shapiro-Wilk’s Normality Test result

twoWayANOVATestResults

  • Display the Two-Way ANOVA results

twoSampleTTestResults
twoSampleTTestResults

  • Display Levene variance homogeneity test result.

twoWayANOVATestResults

  • Display the estimated parameters

twoWayANOVATestResults
twoWayANOVATestResults

  • Display interactive plots:
  • Main effects plot

twoWayANOVAErrorBar

  • Interaction plot

twoWayANOVABoxPlot

One Variance Test

How to select this module?

Parametric Tests

_images/step.png

One Variance Test

General aim

  • This module can be used to estimate the variance of the population and compare whether it differs from a specified reference value.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of numerical data and estimate the mean of the population
  • Compare the estimated variance with a specified reference value
  • Display the data distribution of variables with interactive error bar plots and boxplots
  • Test whether the data distributed normally or not using Shapiro-Wilk’s test

Usage

Step 1: Define your variables from “Variables” tab:

  • Select response numerical variable(s) of interest(s) that will be used for comparison
  • Enter the test variance (the variance to be compared)
  • Use “Sample Input” if you will enter the necessary values of summarised data instead of using the entire data

oneVarianceVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing
  • Check the box for Shapiro-Wilk’s normality test
  • Select the type of alternative hypothesis

oneVarianceStatistics

“Graphs” tab

  • Choose one or more available graphs: Error bar and Box Plot
  • Identify what the error bars will represent: confidence intervals, standard errors or standard deviations

oneVarianceGraphs

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables
  • Switch between variables using combo-box button
  • Click ‘Show All’ to display results for all variables in same screen

oneVarianceResults

  • Display Shapiro-Wilk’s Normality Test result

oneVarianceTestResults

  • Display the One Variance Test results

twoSampleTTestResults

  • Display interactive plots:
  • Error Bar

oneVarianceANOVAErrorBar

  • Box Plot

oneVarianceANOVABoxPlot

Two Variance Test

How to select this module?

Parametric Tests

_images/step.png

Two Variance Test

General aim

  • This module can be used to estimate the variance of two independent populations and compare them each other.

What can you do using this module?

  • Compute several descriptive statistics to describe the distribution of numerical data and estimate the mean of the population
  • Compare the estimated variance with a specified reference value
  • Display the data distribution of variables with interactive error bar plots and boxplots
  • Test whether the data distributed normally or not using Shapiro-Wilk’s test

Usage

Step 1: Define your variables from “Variables” tab:

  • Select response numerical variable(s) of interest(s) that will be used for comparison
  • Select group variable(s) of interest(s) whose categories will be compared with each other
  • Use “Sample Input” if you will enter the necessary values of summarised data instead of using the entire data

twoVarianceVariables

Note

You may choose more options using following tabs:

“Statistics” tab

  • Define the confidence level for hypothesis testing
  • Check the box for Shapiro-Wilk’s normality test
  • Select the type of alternative hypothesis
  • Choose one or more available comparison tests: F, Levene and Bartlett tests

twoVarianceStatistics

“Graphs” tab

  • Choose one or more available graphs: Error bar and Box Plot
  • Identify what the error bars will represent: confidence intervals, standard errors or standard deviations

twoVarianceGraphs

“Options” tab

  • Identify the group variable categories that will be compared with each other
  • Manage missing values with either complete case or by variable deletion

twoVarianceOptions

Step 2: Get your desired outputs

  • Display table with the descriptive statistics of the selected variables
  • Switch between variables using combo-box button

twoVarianceResults
twoVarianceResults

  • Display Shapiro-Wilk’s Normality Test result

twoVarianceTestResults

  • Display the Two Variance Test results

twoSampleTTestResults

  • Display interactive plots:
  • Error Bar

twoVarianceANOVAErrorBar

  • Box Plot

twoVarianceANOVABoxPlot