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The Development of Circadian Rhythms in Human Infants

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proportion <strong>of</strong> the total variance <strong>of</strong> the observed data that is „expla<strong>in</strong>ed‟ by the fitt<strong>in</strong>g<br />

pattern. For the 93 <strong>in</strong>fant weeks that were sampled the mean amplitude was 0.0288<br />

with maximum and m<strong>in</strong>imum values 0.0035 and 0.1092 respectively.<br />

<strong>The</strong> resultant graphs for <strong>in</strong>fants 16003 and 16004 are shown for direct comparison<br />

(Fig 8.3.). Data on all <strong>in</strong>fants is <strong>in</strong>cluded <strong>in</strong> appendix 4. Graphs were drawn us<strong>in</strong>g R<br />

statistical package (R version 2.7.2 2008 <strong>The</strong> R Foundation for Statistical<br />

Comput<strong>in</strong>g).<br />

For clarity a description <strong>of</strong> the symbols used <strong>in</strong> the gene plots and a key are given<br />

below:<br />

Separate graphs have been prepared for each observed week <strong>of</strong> each <strong>in</strong>fant show<strong>in</strong>g<br />

the level <strong>of</strong> expression plotted aga<strong>in</strong>st time, with two curves superimposed: i) the<br />

fitted s<strong>in</strong>usoidal curve for that week‟s data, as an unbroken l<strong>in</strong>e and ii) the fitted<br />

s<strong>in</strong>usoidal curve from the week (for the same <strong>in</strong>fant) that has the best fit,<br />

correspond<strong>in</strong>g to the greatest amplitude <strong>of</strong> the pattern, as a broken l<strong>in</strong>e. In other<br />

words, the week with greatest amplitude <strong>of</strong> gene expression was superimposed<br />

(represented by broken l<strong>in</strong>e) onto each week <strong>of</strong> <strong>in</strong>dividual measurement (represented<br />

by unbroken l<strong>in</strong>e) for ease <strong>of</strong> comparison. For each <strong>in</strong>fant, therefore, the plot for that<br />

week with the best fit does not have a second curve superimposed. Each <strong>of</strong> these<br />

graphs is annotated with the amplitude, hour <strong>of</strong> maximum fitted level, the R-squared<br />

statistic, and the P-value from that <strong>in</strong>dividual l<strong>in</strong>ear regression<br />

176

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