1. A time-series data analyzing apparatus which extracts a composite factor time-series pattern indicating a composite factor of a focused transitional pattern from time-series data, the apparatus comprising: a dividing device configured to divide the time-series data to pattern generation time-series data and pattern inspection time-series data which do not include pattern generation time-series data; a first generating device configured to generate a transitional pattern including a support time data indicating a transition of support time and having a transition occurrence probability higher than a minimum occurrence probability in the pattern generation time-series data; a first computing device configured to compute a time lag range specified by a maximum value and a minimum value of support time in the support time data; a second generating device configured to generate a plurality of frequently appearing integrated transitional patterns by executing integration based on pattern matching between a plurality of transitional patterns obtained by adding a time lag value selected within the time lag range to support time data of the transitional pattern and the focused transitional pattern; a second computing device configured to compute cause-and-effect strength of each of the plurality of frequently appearing integrated transitional patterns using the pattern inspection time-series data; and a display device to display the composite factor time-series pattern having the cause-and-effect strength higher than the minimum cause-and-effect strength given preliminarily.