Related Experiment Video
Updated: May 24, 2026
Detection of Antibodies That Neutralize the Cellular Uptake of Enzyme Replacement Therapies with a Cell-based Assay
Published on: September 10, 2018
Notes on testing non-inferiority under the partial verification design with a confirmatory procedure limited to
1Department of Mathematics and Statistics, College of Sciences, San Diego State University, San Diego, CA 92182-7720, USA. kjl@rohan.sdsu.edu
Abstract:
When a new test with fewer invasions or less expenses to administer than the traditional test is developed, we may be interested in testing whether the former is non-inferior to the latter with respect to test accuracy. We define non-inferiority via both the odds ratio (OR) of correctly identifying a case and the OR of correctly identifying a non-case between two tests under comparison. We focus our discussion on testing the non-inferiority of a new screening test to a traditional screening test when a confirmatory procedure is performed only on patients with screen positives. On the basis of well-established methods for paired-sample data, we derive an asymptotic test procedure and an exact test procedure with respect to the two ORs defined here. Using Monte Carlo simulation, we evaluate the performance of these test procedures in a variety of situations. We note that the test procedures proposed here can also be applicable if we are interested in testing non-inferiority with respect to the ratio of sensitivities and the ratio of specificities. We discuss interval estimation of these ORs and sample size calculation based on the asymptotic test procedure considered here. We use the data taken from a study of the prostate-specific-antigen (PSA) test and the digital rectal examination (DRE) test to illustrate the practical use of these test procedures, interval estimators and sample size calculation formula.
More Related Videos
Related Concept Videos
01:10Bonferroni Test
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...
01:17Sign Test for Matched Pairs
To conduct the sign test, we first calculate the differences in value between...
01:24Testing a Claim about Population Proportion
There are two methods of testing a claim about a population proportion: (1) Using the sample proportion from the data where a binomial distribution is approximated to the normal distribution and (2) Using the binomial probabilities calculated from the data.
The first method uses normal distribution as an approximation to the binomial distribution. The requirements are as follows: sample size is large...
01:19Testing a Claim about Standard Deviation
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
01:11Types of Hypothesis Testing
When the null and alternative hypotheses are stated, it is observed that the null hypothesis is a neutral statement against which the alternative hypothesis is tested. The alternative hypothesis is a claim that instead has a certain direction. If the null hypothesis claims that p = 0.5, the alternative hypothesis would be an opposing statement to this and can be put either p > 0.5, p < 0.5, or p ≠ 0.5.
01:14Decision Making: Traditional Method
First, a specific claim about the population parameter is decided based on the research question and is stated in a simple form. Further, an opposing statement to this claim is also stated. These statements can act as null and alternative hypotheses, out of which a null hypothesis would be a...