TABLE 5.

Simulated intensity distributions and best fit results for Case III

			Simulated distribution fit with
Simulation		Simulation value*	MD histograms	RA histograms
1MD		1500	1478	1721
		1500	1515	1059
	N′	−	2995	2994
		−	2	214
		−	0.34	0.74
3MD		1500	1291	1209
		1500	1595	598
	N′		2992	2992
			6	1185
			0.55	0.89
4MD		1500	1385	738
		1500	1482	736
	N′	−	126	2993
		−	2993	1519
		−	0.47	0.73†
6MD		3000	2402	535
	N′	−	2988	2973
		−	586	2438
		−	0.95	0.44
7MD		200	202	329
		1200	1165	1354
		1200	1278	795
		400	287	299
	N′	−	2992	2990
		−	60	213
		−	0.52	1.22
8MD		200	144	824
		1200	1516	650
		1200	753	773
		400	579	66
	N′	−	3000	3000
		−	8	687
		−	0.39	0.57‡

Simulated intensity distributions and best-fit results for examples in Case III, where but there is no significant difference in between the MD and RA fits. Each set of coefficients was used to generate intensity distributions using both the MD and RA process, and both resultant distributions were then fit using both the MD and RA basis histograms. The list of coefficients includes only those that had nonzero values in the simulated intensity distribution, and their sum is 3000 for all simulations. N′ is the sum of all best coefficients. is the sum of the unlisted coefficients, that is, is the sum of those best-fit coefficients that would have been zero for a perfect fit. In some instances, the sum of the coefficients listed exceeds N′ due to rounding. Eight basis histograms were used for all fits listed in this table, and α = 0.001 unless otherwise stated.

^*Values of used to generate the simulated intensity distribution.

^†Ten RA basis histograms were used in this fit.

^‡Fourteen RA basis histograms were used in this fit.