Hypothesis Testing in Equivalence and Noninferiority Trials

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22/12/2017 · Equivalence Trials Hypotheses ..

Editorial from The New England Journal of Medicine — Equivalence Trials.
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In Equivalence Hypothesis Testing the null ..

Blackwelder (Controlled Clinical Trials 1982; 3: 345-353) proposes a solution. If a differencebetween the two treatments, call it D, is specified that practically represents equivalence, then thenull hypothesis can be restated to include the specified difference. In other words, that: Ps isgreater than or equal to Pn + D. Rejection of this hypothesis implies that the difference betweenthe standard and novel treatments is less than or equal to D, indicating equivalence.

Sample size based on null hypothesis of non-equivalence

This equivalence of confidence intervals and statistical significance is a well-known corollary of statistical first principles, and we will not explain it further here. But we stress that confidence intervals do not represent an advance on null hypothesis testing, if they are interpreted only in relation to positive and negative values or, equivalently, the zero or null value.

Superiority trials, noninferiority trials, and prisoners of the 2-sided null hypothesis PDF
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Hypothesis and Equivalence Testing - WinSPC

Overview of optical communications; Planar optical wave guides, modes and the eigenvalue equation, single-mode and multimode fiber; Group velocity and material dispersion, inter-modal and intra-modal dispersion, attenuation, pulse dispersion, fiber bandwidth, dispersion management; wavelength division multiplexing (WDM) concepts, Signal degradation, attenuation, dispersion and its compensation; Optical sources, semiconductor lasers and light emitting diodes, structure, spectral and temporal properties, modulation schemes; Photo-detectors, structure, operation, quantum efficiency, responsivity, spectral and temporal response; Detection schemes, coherent and non-coherent detection, performance analysis; WDM components, splitters, isolators, circulators, fiber Bragg gratings (FBG), Fabry-Perot and thin-film filters; Optical amplifiers, erbium doped fiber amplifiers

depending on the goals of the study, ..

Data visualization, elements of data analysis, linear and non-linear regression. General Physics and Optics: determination of Hall effect coefficient in n and p-type semiconductors, determination of electrical resistivity of a semiconductor using the 4-probe method, characteristics of a diode laser, Fabry-Perot etalon, Michelson and Mach-Zehnder interferometery, To visualize fine-splitting structure and verification of Bohr magneton value by Zeeman effect, characteristics of wave guides (optical fiber), determination of e/h ratio from Josephson junction experiments. Electronics: Characteristics of FET & MOSFET, Experiments using OPAMP (IC-741) VIZ. (Inverting & non-inverting amplifier, Comparator, Summing and Differential Amplifier, Integrator & Differentiator, Frequency characteristics of various kind of filters), Introduction to logic gates and digital electronics, Study of Frequency and Amplitude modulation. Incubate student led experiments in consultation with a faculty/expert.

Sample Size for an Equivalence Study

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