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Until the development of tau-equivalent reliability, split-half reliability using the Spearman-Brown formula was the only way to obtain inter-item reliability. [4] [5] After splitting the whole item into arbitrary halves, the correlation between the split-halves can be converted into reliability by applying the Spearman-Brown formula.
Correlating scores on one half of the test with scores on the other half of the test; The correlation between these two split halves is used in estimating the reliability of the test. This halves reliability estimate is then stepped up to the full test length using the Spearman–Brown prediction formula.
Split-half reliability (Spearman- Brown Prophecy) and Cronbach Alpha are popular estimates of this reliability. [5] (D) Parallel Form Reliability: It is an estimate of consistency between two different instruments of measurement. The inter-correlation between two parallel forms of a test or scale is used as an estimate of parallel form reliability.
Internal consistency, which addresses the homogeneity of a single test form, may be assessed by correlating performance on two halves of a test, which is termed split-half reliability; the value of this Pearson product-moment correlation coefficient for two half-tests is adjusted with the Spearman–Brown prediction formula to correspond to the ...
Since there is overlap in skills tested between the high end of level I and the low end of level II, this provides another estimate of the reliability of both. On Reading and Spelling, split-half reliabilities ranged from .88 to .94 for different age groups; on Arithmetic they ranged from .79 to .89.
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Raju, N. S. (1982). The reliability of a criterion-referenced composite with the parts of the composite having different cutting scores. Educational and Psychological Measurement, 42(1), 113-129. Cotter, K. L., & Raju, N. S. (1982). An evaluation of formula-based population squared cross-validity estimates and factor score estimates in prediction.