Basically, positive scores mean states that have moved towards the Republicans, negative ones mean states that have moved towards the Democrats. The general identity of the states at the extremes isn't surprising (the negative score for Alabama occurs because it had a pretty substantial Republican vote in the 1920s and 1930s, unlike other deep South states--in effect, it hasn't moved as far towards the Republicans because it didn't have as far to move). What did surprise me is how steady the shift has been. In fact, the method was not designed to produce a trend, just to show variation. Only one election stands out as unusual (1948), and it seems to have been simply an exception rather than the beginning of something. Aside from 1948, there hasn't been much election-to-election variation. That suggests that the roots of the change are "sociological" (ie related to long term social or economic trends) than "political" (ie related to party ideologies or election issues).
UTAH UT 2.69
IDAHO ID 2.34
WYOMING WY 1.66
ARIZONA AZ 1.64
NEBRASKA NE 1.38
MONTANA MT 1.18
NEVADA NV 0.88
NORTH DAKOTA ND 0.77
*TEXAS TX 0.73
INDIANA IN 0.70
*SOUTH CAROLINA SC 0.60
*OKLAHOMA OK 0.56
KANSAS KS 0.56
NEW MEXICO NM 0.53
*ARKANSAS AR 0.43
COLORADO CO 0.32
SOUTH DAKOTA SD 0.32
*KENTUCKY KY 0.29
*LOUISIANA LA 0.28
*MISSOURI MO 0.11
*NORTH CAROLINA NC 0.08
*WEST VIRGINIA WV 0.05
*TENNESSEE TN -0.01
NEW HAMPSHIRE NH -0.05
*MISSISSIPPI MS -0.06
OHIO OH -0.06
*GEORGIA GA -0.09
*VIRGINIA VA -0.13
*FLORIDA FL -0.23
OREGON OR -0.24
WASHINGTON WA -0.37
WISCONSIN WI -0.45
MARYLAND MD -0.49
IOWA IA -0.56
DELAWARE DE -0.56
MINNESOTA MN -0.63
CONNECTICUT CT -0.71
CALIFORNIA CA -0.73
ILLINOIS IL -0.78
NEW JERSEY NJ -0.79
PENNSYLVANIA PA -0.85
MICHIGAN MI -0.96
NEW YORK NY -1.14
RHODE ISLAND RI -1.16
MAINE ME -1.43
MASSACHUSETTS MA -1.44
*ALABAMA AL -1.85
VERMONT VT -2.33
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