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Characteristics of Mathematical Statistics Model of Student Emotion in College Physical Education


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Fig. 1

Theoretical model of attitude, sports ability, and expected mastery.
Theoretical model of attitude, sports ability, and expected mastery.

Descriptive analysis of potential factors.

Latent factor First-order factor/measurement item The first-order factor/mean of the measurement items Latent factor
Attitude emotion 4.649 4.816
cognitive ability 4.854
value 5.687
Difficulty 3.088
interest 4.919
Work hard 5.67

Physical ability Previous physical education results (Q37) 4.28 4.252
Sports level (Q38) 4.224

Expected mastery Confidence in mastering sports knowledge (Q40) 4.858 4.482
What kind of results are expected (Q44) 4.105

Eight potential factors.

Latent factor meaning Number of Questions Examples of measurement questions
emotion Positive or negative feelings about the physical education curriculum 6 Q3: I will like sports.
cognitive ability Views on their ability to apply sports knowledge and skills 6 Q31: I can learn sports.
value Views on the value of sports knowledge in life and work 9 Q9: Physical education should be a necessary part of professional training.
Difficulty Awareness of the problem of physical education courses 7 Q6: The sports formula is easy to understand.
interest Interest in physical education 4 Q20: I am very interested in using sports.
Work hard The effort you intend to make for the physical education curriculum 4 Q14: I plan to study hard for every physical education test.
Expected mastery Anticipate their level of ability of sports knowledge 2 Q40: How confident are you in mastering the basics of sports?
Physical ability Past sports level 2 Q37: In the physical education courses you have taken before, how did you score?

Reliability and validity test indicators.

Latent factor Cronbach α coefficient AVE AVE \sqrt{AVE} Correlation coefficient

Attitude Expected mastery Physical ability
attitude 0.739 0.362 0.602 1 0.789 0.434
Expected mastery 0.624 0.498 0.705 0.789 1 0.81
Physical ability 0.931 0.872 0.934 0.434 0.81 0

Estimation results of the structural equation model.

path Standardized path coefficient test result
Attitude β Sports Ability 0.434*** H1 established
Expected mastery β sports ability 0.577*** H2 established
Expected mastery β attitude 0.539*** H3 established

The initial fit index of the “attitude” factor measurement model.

Fitting effect Initial result Adjusted result Rule of thumb
Index Chisq. 503.816 11.146
df. 9 3
Chisq./df. 55.98 3.715 <3
SRMR 0.108 0.02 <0.1
RMSEA 0.226 0.05 <0.05
CFI 0.771 0.996 >0.9
GFI 0.846 0.997 >0.9
NFI 0.768 0.995 >0.9
IFI 0.771 0.996 >0.9

Confirmatory factor analysis estimation results.

Latent factor First-order factor/measurement item Standardized load factor
Attitude Emotion 0.678***
Cognitive ability 0.745***
Value 0.706***
Difficulty −0.152***
Interest 0.601***
Work hard 0.524***

Sports performance Previous physical education results (Q37) 0.917***
Sports level (Q38) 0.951***

Expected mastery Confidence in mastering statistical knowledge (Q40) 0.748***
What kind of results are expected (Q44) 0.660***

Fitting index of structural equation model.

Fitting effect Index

Chisq. df. Chisq./df. SRMR RMSEA CFI GFI NFI IFI
Value 245.15 26 9.429 0.06 0.089 0.957 0.957 0.953 0.957
Rule of thumb <3 or <5 <0.1 <0.05 >0.9 >0.9 >0.9 >0.9
eISSN:
2444-8656
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics