NCAA Women's Soccer			Somis Sports
	Most improved teams
	2022 Season
	Notes:
	Most improved teams are ranked based on improvement from the prior season (i.e. 2022 vs. 2021).  The calculation is primarily related to the team's overall improvement but also favors team's with higher ratings and, to a lesser extent, factors in the relative variability of each of the three divisions (D1, D2 and D3).
	Below is an example.  In the example, Team A is in D2 and Team B is in D3.  The calculation involves five steps as follows:
	1. Calculate the amount by which each team improved.
		Division 2	Division 3
	Rating increase (points)	Team A	Team B
	2021 rating	0.33	(2.69)
	2022 rating	1.71	(0.25)
	Net point increase	1.38	2.44
	2. Restate the improvement in terms of V with V being the  variability of the Division.  Improvement is measured starting at  negative 2V; the minimum 2021 rating, for calculation purposes,  is -2V (see Team B below).
		Division 2	Division 3
	Division variability (V)	1.075	1.174
	Improvement in terms of V	Team A	Team B
	2021 rating	0.31	(2.29)
	2021 rating, min = -2V	0.31	(2.00)
	2022 rating	1.59	(0.21)
	Net V increase	1.28	1.79
	3. Calculate the weighted average V increase using the tables below.  Apply a multiplier to the calculation.  The multiplier is explained in #4 below.
	Team A - Improvement (V)	Calculation	Multiplier	Overall
	From -2 to -1		0.333	-
	From -1 to 0		0.667	-
	Greater than 0	1.28	1.000	1.280
		1.28		1.280
		Mulitiplier		1.250
		Weighted average		1.600
	Team B - Improvement (V)	Calculation	Multiplier	Overall
	From -2 to -1	1.00	0.333	0.333
	From -1 to 0	0.79	0.667	0.527
	Greater than 0		1.000	-
		1.79		0.860
		Mulitiplier		1.250
		Weighted average		1.075
	4. Average the V points increase (#2 above) with the Weighted Average increase (#3 above).  Note: In section 3, the multiplier is  set so that Overall increase and the Weighted Average equally contribute to total team improvement.
	Increase in terms of V		Team A	Team B
	Overall points increase (V)		1.28	1.79
	Weighted average increase (V)		1.600	1.075
	Average increase (V)		1.440	1.433
	5. Convert the V increase to the Points increase by multipliying the V increase by the overall variability of all teams (D1, D2 and D3).
	Adjusted increase measured in points		Team A	Team B
	Average V increase (#4 above)		1.440	1.433
	Weighted average increase (V)		1.111	1.111
	Adjusted increase in points		1.60	1.59
	The following conceptual rules were used in making the calculation:
	A. Improvement is measured starting at -2V (#2 and #3 above).
	B. Overall improvement is measured 50% based on the net increase (#2 above) and 50% based on a weighted average increase (#3 above).
	C. For the weighted average calculation, the overall improvement from -2V to 0V is credited at 50%, i.e. 33.3% from -2V to -1V and 66.7 to 0V.  In other words, if a team improves from -2V to 0V, then its improvement for purposes of the calculation is 1V (50% of 2V).
	D. Divisional variability should be neutralized (see #2 above).  Otherwise, any one division could have an inordiante or minimal amount of teams making the all division list.
	Nevertheless, these conceptual rules are subjective.  For example, per the Somis Sports methodology, Texas Permian Basin placed 17th on the D2 most improved teams list and 70th of all NCAA teams.  On the other hand, if the calculation was based purely on net increase in the overall rating (#1 above), the Falcons would have finished 1st in D2 and 2nd in the NCAA.