Compared with other methods,scores and loadings of the nonlinear principal component analysis(NLPCA) method have the same interpretations as linear Principal Component Analysis(PCA).

Based on scores of the basketball games,this study analyzes 67 indexes of scores from the video of 6 games in 2005-2006 NBA playoffs.

By reviewing literatures,this analyzes the scores of basketball teams in Fourteenth Women Basketball World Championship,especially Chinese team.

The proposed method has the following advantages over traditional methods: first, it has conceptually the same explanation as linear PCA, and gives the calculation methods of nonlinear principal scores and loadings; second, it adopts three-layer neural network, which is simple in structure and easy to be trained.

Analyzed the score s feature and regularity of the first eight athletes of Guangdong Collegiate Women s Heptathlon with some documents and statistics,the result shows that the score in long jump and high jump of this group has the least difference with the national collegiate of highest quality.

The players are adapting to the new rule and are able to score effectively,but they have not plenty of stamina.

Study of Chinese women s volleyball team s scoring in 2005 International Women s Volleyball Master Competition(China);

The Analyses of U.S men s Basketball Player s Main Scoring Methods in The 26th Olympic Games;

Based on the core factor of scoring which decides the winning and losing of the basketball game,through analyzing statistical data of 66 indexes of score and offense that got from the video of 8 games between 7 European strong teams in the 15th Man s Basketball World Championships.

In this paper,the factor analysis is applied to study the correlationship between six elements and obtain the factor scores.

The ridge estimation of factor score in factor analysis;

According to the data in Hubei statistical yearly book of 1999, nine indexes for evaluating economic benefit in 61 countries/cities are quantitatively evaluated using methods of principal component analysis, factor score and cluster analysis.

Moreover, 3 synthetic factors are extracted from the nine variables: the first is related to the scale and benefit of the corporation, the second is related to profitability factor, and the third is the each shares of value of the stock, and give the method which calculates the factor scores to weight these stocks’ financial.