Approximation Formulas for Error Risk and Sample Size in ABX Testing

Burstein H. Approximation Formulas for Error Risk and Sample Size in ABX Testing. J Audio Eng Soc. 1988;36(11):879-883. Available from: https://aes.org/publications/elibrary-page/?id=5124

@article{Burstein1988_5124,
  author = {Burstein, Herman},
  title = {{Approximation Formulas for Error Risk and Sample Size in ABX Testing}},
  journal = {Journal of the Audio Engineering Society},
  volume = {36},
  number = {11},
  pages = {879--883},
  year = {1988},
  month = nov,
  publisher = {Audio Engineering Society},
  url = {https://aes.org/publications/elibrary-page/?id=5124}
}

TY  - JOUR
TI  - Approximation Formulas for Error Risk and Sample Size in ABX Testing
AU  - Burstein, Herman
T2  - Journal of the Audio Engineering Society
J2  - J. Audio Eng. Soc.
VL  - 36
IS  - 11
SP  - 879
EP  - 883
PY  - 1988
DA  - 1988/11/06
UR  - https://aes.org/publications/elibrary-page/?id=5124
PB  - Audio Engineering Society
LA  - en
AB  - When sampling from a dichotomous population with an assumed proportion p of events having a defined characteristic, the binomial distribution is the appropriate statistical model for accurately determining: type 1 error risk (symbol); type 2 error risk (symbol); sample size n based on specified (symbol) and (symbol) and assumptions about p; and critical c (minimum number of events to satisfy a specified [symbol]). Table 3 in [1] pre;sents such data for a limited number of sample sizes and p values. To extend the scope of Table 3 to most n and p, we present approximation formulas of substantial accuracy, based on the normal distribution as an approximation of the binomial.
ER  -