S138 Chapter 2 (Notations)

• N - Population Size
• n - Sample Size
• Number of Samples (WOR)

  $(N,n)$
• Number of Samples (WR)

  $N^n$
• Probability of a Sample (WOR)

  $1/(N,n)$
• Probability of a Sample (WR)

  $1/(N^n)$
• Sampling Weight

  $w_i=$$N/n$
• Inclusion Probability

  $\pi_i=$$n/N$
• Self-Weighting Sample - a sample in which every unit has the same sampling weight
• When is a sample a representative sample?

  • If a sample reflects the variability of the population
  • If you know the sampling weights
• Superpopulation - our finite population is itself part of a larger superpopulation which itself is in turn a subset of a larger superpopulation and so on until the superpopulation is as large as we wish
• Interpretation of a 95% CI

  95% chance that the true value of the parameter will be within the upper and lower bounds