NAEP Technical DocumentationProportion of Scale Score Variance Accounted for by the Population-Structure Model, Grade 4 Science State Assessment, by State/Jurisdiction: 2015

Proportion of scale score variance accounted for by the population-structure model, grade 4 science state assessment, by state/jurisdiction: 2015
State/jurisdiction	Number of principal components²	Proportion of scale score variance accounted for by the population-structure model¹
State/jurisdiction	Number of principal components²	Univariate
Alabama	251	.65
Arizona	281	.69
Arkansas	266	.62
California	312	.76
Connecticut	289	.67
Delaware	269	.69
Florida	333	.66
Georgia	281	.64
Hawaii	274	.72
Idaho	282	.64
Illinois	326	.69
Indiana	278	.64
Iowa	269	.59
Kansas	280	.66
Kentucky	237	.62
Maine	300	.56
Maryland	266	.69
Massachusetts	291	.68
Michigan	262	.64
Minnesota	277	.64
Mississippi	256	.66
Missouri	273	.64
Montana	283	.60
Nebraska	287	.66
Nevada	280	.64
New Hampshire	294	.57
New Jersey	271	.68
New Mexico	322	.65
New York	319	.67
North Carolina	289	.64
North Dakota	289	.54
Ohio	246	.67
Oklahoma	283	.56
Oregon	293	.66
Rhode Island	270	.65
South Carolina	269	.63
South Dakota	270	.59
Tennessee	265	.62
Texas	317	.70
Utah	154	.42
Vermont	264	.58
Virginia	266	.64
Washington	278	.70
West Virginia	258	.57
Wisconsin	275	.62
Wyoming	259	.60
Other jurisdictions
DoDEA	238	.57
¹ (Total Variance – Residual Variance) / Total Variance, where Total Variance consists of sampling, measurement, and other sources of error. ² Excluding the constant term. NOTE: Univariate scale. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Science Assessment.

Proportion of scale score variance accounted for by the population-structure model, grade 4 science state assessment, by subscale and state/jurisdiction: 2015
State/jurisdiction	Number of principal components²	Proportion of scale score variance accounted for by the population-structure model¹
State/jurisdiction	Number of principal components²	Physical science	Earth and space sciences	Life science
Alabama	251	.74	.74	.65
Arizona	281	.71	.75	.70
Arkansas	266	.71	.72	.61
California	312	.86	.83	.74
Connecticut	289	.71	.73	.68
Delaware	269	.76	.73	.72
Florida	333	.74	.74	.68
Georgia	281	.69	.71	.65
Hawaii	274	.77	.78	.71
Idaho	282	.68	.71	.66
Illinois	326	.74	.74	.68
Indiana	278	.73	.70	.67
Iowa	269	.69	.65	.56
Kansas	280	.73	.74	.68
Kentucky	237	.70	.65	.64
Maine	300	.68	.67	.60
Maryland	266	.73	.75	.71
Massachusetts	291	.71	.75	.73
Michigan	262	.72	.70	.63
Minnesota	277	.69	.72	.68
Mississippi	256	.74	.74	.66
Missouri	273	.70	.73	.61
Montana	283	.64	.65	.65
Nebraska	287	.74	.70	.69
Nevada	280	.73	.72	.67
New Hampshire	294	.66	.61	.62
New Jersey	271	.73	.75	.70
New Mexico	322	.71	.73	.66
New York	319	.77	.73	.65
North Carolina	289	.70	.73	.65
North Dakota	289	.64	.64	.52
Ohio	246	.74	.76	.68
Oklahoma	283	.64	.65	.60
Oregon	293	.71	.73	.68
Rhode Island	270	.74	.64	.67
South Carolina	269	.69	.71	.61
South Dakota	270	.65	.66	.62
Tennessee	265	.64	.70	.64
Texas	317	.73	.78	.74
Utah	154	.43	.43	.40
Vermont	264	.67	.63	.60
Virginia	266	.68	.71	.67
Washington	278	.78	.76	.69
West Virginia	258	.67	.62	.59
Wisconsin	275	.70	.69	.61
Wyoming	259	.67	.68	.63
Other jurisdictions
DoDEA	238	.69	.64	.58
¹ (Total Variance – Residual Variance) / Total Variance, where Total Variance consists of sampling, measurement, and other sources of error. ² Excluding the constant term. SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2015 Science Assessment.

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Last updated 30 November 2021 (ML)

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