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In statistics, sequential analysis or sequential hypothesis testing is statistical analysis where the sample size is not fixed in advance. Instead data is evaluated as it is collected, and further sampling is stopped in accordance with a pre-defined stopping rule as soon as significant results are observed.
With sequential screening, a first report is produced after the first trimester sample has been submitted, and a final report after the second sample. With contingent screening , patients at very high or very low risks will get reports after the first-trimester sample has been submitted.
The sequential probability ratio test (SPRT) is a specific sequential hypothesis test, developed by Abraham Wald [1] and later proven to be optimal by Wald and Jacob Wolfowitz. [2] Neyman and Pearson's 1933 result inspired Wald to reformulate it as a sequential analysis problem.
Sequential estimation is the core of many well known applications, such as the Viterbi decoder, convolutional codes, video compression or target tracking. Due to its state space representation, which is in most cases motivated by physical laws of motion, there is a direct link to control applications, which led to the use of the Kalman filter ...
Before testing the examiner decides which model to follow: Luria or CHC. The subtests are grouped into 4 or 5 scales depended on the age and interpretive model chosen. Luria's model consists of four scales: Sequential Processing Scale, Simultaneous processing Scale, Learning Ability and Planning Ability.
In 2019, Rudner examined the application of measurement decision theory for classifying examinees, evaluating its effectiveness in terms of classification accuracy, sequential testing procedures, and the minimum number of items required for accurate classification. [28]
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In statistical quality control, the CUSUM (or cumulative sum control chart) is a sequential analysis technique developed by E. S. Page of the University of Cambridge. It is typically used for monitoring change detection. [1] CUSUM was announced in Biometrika, in 1954, a few years after the publication of Wald's sequential probability ratio test ...