selected assuming a homogeneous population Sampling Frame List of units in the

# Selected assuming a homogeneous population sampling

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selected, assuming a homogeneous population Sampling Frame List of units in the population Has simpler estimation methods, but may also not be representative in heterogeneous populations For datasets with no sampling frame or when sampling units are too numerous for SRS Not recommended if there is periodicity in the population resulting into similar types in the sample Sampling Interval k = N/n Random Start 1 ≤ r ≤ k First Method 1 | Choose r from a table of random numbers ( first unit in the sample) 2 | Succeeding units: r + k, r + 2k, . . . r + nk Second Method For N/n not a whole # 1 | Choose random start r 2 | List is considered circular (last unit followed by the first) — units chosen as r + k, r + 2k, . . ., r + nk TAMAYO, Dominic Raphael G. Page 1 of 2
Math 101 03 - Sampling Design Population is first divided into non-overlapping strata (homogeneous within strata, heterogeneous between strata) Samples selected from each strata by SRS N = N 1 + N 2 + . . . + N k n = n 1 + n 2 + . . . + n k May provide better estimates with information obtained from each strata For unavailable or too costly frames, only list of clusters is needed Population is divided into sampling units and samples chosen through SRS Has problems of intra-class correlation or rate of homogeneity among units within clusters, more difficult statistical analysis Extended cluster sampling with multiple stages, generally used for surveys with large coverage Complete frame only necessary for primary sampling units, succeeding frames confined to selected samples Difficult statistical analysis, sampling procedure needs much planning TAMAYO, Dominic Raphael G. Page 2 of 2

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• Fall '19
• Statistics, sampling design, sampled population

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