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The design algorithm of the ¯¯¯X&S M-chart does not only optimize the deployed manpower, but also determine the sample size, sampling interval and control limits of the ¯¯¯X and S charts in an optimal manner.
The design optimizes the sample size, sampling interval, and control limits of the chart in order to minimize the mean number of defective units (denoted as MD) produced per out-of-control case.
Then the survival time pdfs of the exam-diagnosed, interval and control cases are the mixtures, and, respectively.
Survival distributions for exam-diagnosed, interval, and control cases are assumed to be conditional on the stage at diagnosis and treatment, but are not dependent on the mode of diagnosis.
It is shown that these factors can account for much of the differences in survival between incidence screen detected, interval and control group cancers but to a lesser extent for cancers detected at the prevalence screen where length bias is greatest.
The LZ model assumes k stages, ϕ s (j), ϕ i (j) and ϕ c (j) represent the probability of being diagnosed at stage j, j = 1,..., k for exam-diagnosed, interval and control cases, respectively, and f j (t| z + τ) is the probability density function (pdf) of survival time t among subjects who would have been clinically diagnosed at stage j in the absence of screening.
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In addition, MS-MPC can incorporate, naturally, richer descriptions of external disturbances and model uncertainties over several distinct temporal scales (ranges of frequencies) and can accommodate, naturally and optimally, measurements at multiple sampling intervals and control actions at multiple rates.
We present a cost model and determine the optimal values of the design parameters, the sample size, the sampling intervals and control limit coefficient by minimizing the expected cost per unit time with respect to exponential parameters change.
Optimal values of the design parameters including the sample size, the sampling intervals, and control limit coefficient are solved by minimizing the expected total cost per unit time, based on the varieties of combinations of Weibull parameters.
Media and stimulants were replenished at 24 hr intervals, and control cells were cultured in the appropriate diluent used for each stimulant e.g. 0.1% NH4OH for T4 and 0.5% DMSO for ATRA.
To evaluate the overlap of VDR regions and chromatin states in LCLs relative to that in other cell lines, we created case control tracks for each chromatin state by removing all parts of chromatin intervals that overlapped between LCLs and control cells and marking the remaining intervals as case (LCL specific intervals) and control (other cell type specific intervals).
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