--- title: Hypothesis Testing Example - Amgen Psoriatic Arthritis Research - Calculate sample size description: Hypothesis Testing Example - Use nQuery and learn how to calculate sample size and use a power analysis calculator for clinical trials. This example focuses on Amgen Psoriatic Arthritis Research. image: https://www.statsols.com/hubfs/Master_Images/___HeroBannerImages/nQuery%20Sample%20Size%20Software%20Image.png --- Explore the Scientific R&D Platform ![Top Bar background texture](https://flow-cytometry.net/wp-content/uploads/2024/07/nav-bg.png) ![](https://flow-cytometry.net/wp-content/uploads/2024/07/Luma-TM.png) Scientific intelligence platform for AI-powered data management and workflow automation [Explore Luma   ](https://www.dotmatics.com/luma-data-management-platform) [![Prism logo](https://flow-cytometry.net/wp-content/uploads/2024/07/Prism-Logo-White-2.png) Statistical analysis and graphing software for scientists ](https://www.graphpad.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![Geneious logo](https://flow-cytometry.net/wp-content/uploads/2024/07/Geneious-Logo-White-2.png) Bioinformatics, cloning, and antibody discovery software ](https://www.geneious.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![SnapGene logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-SnapGene.svg) Plan, visualize, & document core molecular biology procedures ](https://www.snapgene.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![Protein Metrics logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-Protein-Metrics.svg) Proteomics software for analysis of mass spec data ](https://proteinmetrics.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![LabArchives logo](https://flow-cytometry.net/wp-content/uploads/2024/07/LabArchives-Logo-White-2.png) Electronic Lab Notebook to organize, search and share data ](https://www.labarchives.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![OMIQ logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-OMIQ.svg) Modern cytometry analysis platform ](https://www.omiq.ai/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![FCS Express logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-FCS-Express.svg) Analysis, statistics, graphing and reporting of flow cytometry data ](https://denovosoftware.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![Easy Panel logo](https://flow-cytometry.net/wp-content/uploads/2024/07/EasyPanel-Logo-White-2.png) Intelligent panel design & inventory management for flow cytometry ](https://flow-cytometry.net/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![nQuery logo](https://cdn.labarchives.com/assets/16.23.0/assets/images/dotmatics/lab-archives/top-bar/PreNav-Logo-nQuery.svg) Software to optimize designs of clinical trials ](https://www.statsols.com/) [![M-Star logo](https://flow-cytometry.net/wp-content/uploads/2024/07/M-Star-Logo-White-2.png) Computational fluid dynamics (CFD) software for engineers and researchers ](https://www.mstarcfd.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [![SoftGenetics logo](https://flow-cytometry.net/wp-content/uploads/2024/07/SoftGenetics-Logo-White-2.png) Genetic analysis software for research, forensics & healthcare applications ](https://softgenetics.com/?utm_medium=referral&utm_source=nquery&utm_campaign=dotmatics-top-bar) [Explore the Scientific Software   ](https://www.dotmatics.com/portfolio) [![nQuery Logo](https://www.statsols.com/hubfs/nQuery%20Logo.svg "nQuery Logo")](https://www.statsols.com/) [![Pricing](https://no-cache.hubspot.com/cta/default/488764/23ddd076-07af-4f0a-9388-5a58a5369002.png)](https://cta-redirect.hubspot.com/cta/redirect/488764/23ddd076-07af-4f0a-9388-5a58a5369002) [![Free Trial](https://no-cache.hubspot.com/cta/default/488764/93ddde0f-93b2-4893-a3db-0523d2334739.png)](https://cta-redirect.hubspot.com/cta/redirect/488764/93ddde0f-93b2-4893-a3db-0523d2334739) # Sample Size Determination Example ## AREA: Proportions | Rheumatology ![nQuery In Use Background Web Opacity 35](https://www.statsols.com/hs-fs/hubfs/Master_Images/___HeroBannerImages/nQuery%20In%20Use%20Background%20Web%20%20Opacity%2035.png?width=1920&name=nQuery%20In%20Use%20Background%20Web%20%20Opacity%2035.png "nQuery In Use Background Web Opacity 35") #### Amgen Psoriatic Arthritis Research #### Title: Brodalumab, an Anti-IL17RA Monoclonal Antibody, in Psoriatic Arthritis **Objective: **We assessed the efficacy and safety of brodalumab, a human monoclonal antibody against interleukin-17 receptor A (IL17RA), in a phase 2, randomized, double-blind, placebo-controlled study involving patients with psoriatic arthritis. **Year:** 2013 **Source:** New England Journal of Medicine **Link: **[http://www.nejm.org/doi/full/10.1056/NEJMoa1315231  ](http://www.nejm.org/doi/full/10.1056/NEJMoa1315231) **Clinical Area: **Rheumatology | **Sample Size Section in Paper/Protocol:** | | --- | | “We determined that a sample size of 156 patients with a 1:1:1 randomization ratio would provide a power of more than 80% at a two-sided significance level of 0.05 (as calculated with the use of the chi-square test), assuming ACR 20 response rates of 50% in the Brodalumab 280-mg group and 23% in the placebo group at week 12.” | ** Summary of Necessary Parameter Estimates for Sample Size Calculation:** |  Parameter | Value | | --- | --- | |  Significance Level | 0.05 | |  Expected Placebo Mean | 0.23 | |  Parameter 3 | 0.5 | |  Sample Size Per Group | 52 | |  Target Power (%) | >80 | #### **Email me this example in PDF format** **Step 1: **Select the table ***Compute Power or Sample Size for Two-Sample Chi-Squared Test ***from the Select Test Design & Goal window. This is located under the Chi-Squared Test to Compare Two Proportions dropdown. This can be done **using the radio buttons** or alternatively, you can** use the search bar** at the end of the Select Test Design & Goal window. ![Sample Size Calculator Example- nQuery- Example 17- Img 01- Compute Power or Sample Size for Two-Sample Chi-Squared Test](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2017-%20Img%2001-%20Compute%20Power%20or%20Sample%20Size%20for%20Two-Sample%20Chi-Squared%20Test.png?width=742&name=Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2017-%20Img%2001-%20Compute%20Power%20or%20Sample%20Size%20for%20Two-Sample%20Chi-Squared%20Test.png) **Step 2:**** **Enter the parameter values for power calculation taken from the study protocol. ![Sample Size Calculator Example- nQuery- Example 17- Img 02- Compute Power or Sample Size for Two-Sample Chi-Squared Test](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2017-%20Img%2002-%20Compute%20Power%20or%20Sample%20Size%20for%20Two-Sample%20Chi-Squared%20Test.png?width=801&name=Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2017-%20Img%2002-%20Compute%20Power%20or%20Sample%20Size%20for%20Two-Sample%20Chi-Squared%20Test.png) Enter the sample size of 52 per group as per study design. Select ***calculate the power from*** the dropdown menu. **![Sample Size Calculator Example- nQuery- Example 17- Img 03- Compute Power or Sample Size for Two-Sample Chi-Squared Test](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2017-%20Img%2003-%20Compute%20Power%20or%20Sample%20Size%20for%20Two-Sample%20Chi-Squared%20Test.png?width=802&name=Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2017-%20Img%2003-%20Compute%20Power%20or%20Sample%20Size%20for%20Two-Sample%20Chi-Squared%20Test.png)** **Step 3: **With the Sample Size per Group entered, select **Calculate the power** from the dropdown menu and** click Run**. | This gives 80% power, as per the study design | | --- |   **![Example 16 Img 04](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Example%2016%20Img%2004.png?width=702&name=Example%2016%20Img%2004.png)** **Step 4: **Once the calculation is completed, nQuery Advanced provides an output statement summarizing the results. It States: | **Output Statement:** | | --- | | ***“****A two group χ² test with a 5% two-sided significance level will have 82.57% power to detect the difference between a Group 1 proportion, π₁, of 0.23 and a Group 2 proportion, π₂ of 0.5 (odds ratio of 3.348) when the sample size in each group is 52.****”*** |   ![Sample Size Calculator Example- nQuery- Example 17- Img 05- Compute Power or Sample Size for Two-Sample Chi-Squared Test](https://www.statsols.com/hs-fs/hubfs/Master_Images/___PageImages/Worked%20Examples/nQuery%20Example%20Images/Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2017-%20Img%2005-%20Compute%20Power%20or%20Sample%20Size%20for%20Two-Sample%20Chi-Squared%20Test.png?width=783&name=Sample%20Size%20Calculator%20Example-%20nQuery-%20Example%2017-%20Img%2005-%20Compute%20Power%20or%20Sample%20Size%20for%20Two-Sample%20Chi-Squared%20Test.png) #### **Email me this example in PDF format** ### Free 14 Day Trial ![Demo Icon white](https://www.statsols.com/hs-fs/hubfs/Demo%20Icon%20white.png?width=330&name=Demo%20Icon%20white.png) **No download required**   [Try Now](https://www.statsols.com/nquery-demo) ##### **LOCATION** GraphPad Software DBA Statistical Solutions, 225 Franklin St FL 26 Boston, MA, 02110-2853, United States Copyright © Statsols. 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