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COINCIDENCES IN THE BIBLE AND IN BIBLICAL HEBREW
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          164                            COINCIDENCES IN THE BIBLE AND IN BIBLICAL HEBREW
          12.3  Hebrew Color Names: A Hypothesis and Its Statistical Testing

          12.3.1  The Hypothesis and an Outline of the Analysis
          To test the above proposition, applying appropriate statistical procedures with all

          required scientific care, the following three stages are pursued.
          Stage 1: Formulating the Hypotheses
          We formulate two hypotheses  that will be statistically tested.


              Null Hypothesis: There is no relationship between the numerical value of a
              Hebrew color name (CNV ) and the color’s wave frequency (WF ). The latter
              is defined as the midvalue of the corresponding interval given in Table 12.1;

              refer to Table 12.3.

              Alternative Hypothesis: CNV  and WF  are linearly related.

          Stage 2: Preparing the Samples
          Since many of the biblical color names just given are open to different interpreta-
          tions, we base our analysis only on color names of nondebatable clear meanings.
          We call this set of observations the basic set. Consistent with this book’s title, only
          names that appear in the Bible are considered for inclusion in the basic set.
            An extended set is also constructed that is used for some other analyses, as will
          be expounded shortly.

          Stage 3: Analysis
          Linear regression analysis is applied to the data, aiming to derive a model capable
          of predicting a color’s spectral wave frequency (WF) from the numerical value
          of  its  Hebrew  name  (CNV ). This  statistical  analysis  comprises  three  separate
          analyses.

          Analysis I: Statistical Analysis Based on the Extended Set

          Assuming that the outrageous alternative hypothesis is true, we calculate expected
          CNVs for colors that are included in the analysis (the extended set) but not in the
          basic set. These are colors that belong to the group of elementary colors , yet do

          not have clear Hebrew names in the Bible. To obtain the expected CNV values for

          these colors, linear interpolation or linear extrapolation are applied, as required
          (these will be detailed later).
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