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Determining the Minimum Sample Size Required definitions

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  • Confidence Interval
    A range constructed around a sample mean to estimate a population mean with a specified probability.
  • Margin of Error
    The maximum amount by which a sample estimate may differ from the true population value in a confidence interval.
  • Sample Size
    The number of subjects or observations included in a study, affecting the precision of statistical estimates.
  • Critical Value
    A number from statistical tables used to determine the boundaries of a confidence interval for a given confidence level.
  • Standard Deviation
    A measure of variability indicating how spread out values are in a dataset, often estimated from prior studies.
  • Degrees of Freedom
    A value calculated as one less than the sample size, used in statistical formulas for estimating variability.
  • Confidence Level
    The probability that a confidence interval contains the true population parameter, commonly expressed as a percentage.
  • Range Rule of Thumb
    A method for estimating standard deviation by dividing the difference between maximum and minimum values by four.
  • Population Mean
    The average value of a variable for all members of a population, estimated using sample data.
  • Z-Value
    A standardized score from the normal distribution used to calculate confidence intervals when sample size is large.
  • T-Value
    A score from the t-distribution used in confidence interval calculations, especially when sample size is small.
  • Prior Information
    Data or estimates from previous studies used to inform calculations when current sample statistics are unavailable.
  • Estimation
    The process of inferring population parameters based on sample statistics and probability models.
  • Decimal Rounding
    The practice of increasing a calculated sample size to the next whole number to ensure statistical requirements are met.
  • Maximum Margin of Error
    The largest allowable difference between a sample estimate and the population parameter for a confidence interval.