Power transform

Gene

Transformation (genetics)

Process (computing)

Engineering

Reliability engineering

Discrete mathematics

Statistics

Applied mathematics

Operating system

Data warehouse

Biochemistry

Data mining

Computer science

Mathematics

Econometrics

Data transformation

Chemistry

Normality

Normal distribution

Consistency (knowledge bases)

Journal of Qiqihar University

The Box-Cox transformation and Johnson transformation methods are studied, their calculation performance for PCIs are compared. The simulation results show that the Box-Cox transformation and Johnson transformation can both convert common probability distributions to normal distribution, with success rate over 97%, while Johnson transformation conversion ability is stronger, with success rate more than 99.5%. In terms of the effectiveness of the PCIs calculation, the performance difference between Box-Cox transformation and Johnson transformation is not big, the substandard products rate calculated form PCIs is compared to theoretical substandard products rate and the relative error is within 2%.

Process capability analysis in non-normality based on Box-Cox transformation and Johnson transformation