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Statistical Analysis
创建日期：2024-07-22 17:13:25
所属分类：统计学statistics
标签： Statistical
Statistical Analysis

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Statistical Analysis

 The below figures show the reaction times among different groups and different trails for the adult subjects.

Reaction time

The below figures show the reaction times among different groups and different trails for the adult subjects.

The reaction time is slightly shorter for the monolingual group than the bilingual and L2 learner. The reaction time between bilingual and L2 learner does not differ much. Whether the number is match or not, or whether the first word is plural or singular also seems to be unassociated with the reaction time.

The below figures show the reaction times among different groups and different trails for the child subjects.

Similar results are obtained. The reaction time is slightly shorter for the monolingual group than the bilingual one. For the child group, there is no L2 leaners in the experiment. The reaction times for different number or NP_first variables also seem to be the same.

For the eight conditions, the summary for adults and children are summarized as follows.

For the reaction time, the linear mixed effect models are applied to the both adult and child subjects.

For the models, the three-way interaction among the group, structure, and FirstNP are considered as the fixed effects. Initially, the four-way interaction is built but cannot converge thus it is reduced to the three-way interaction model. One specifies that there are intercept random effects regarding different subject, item, trail, as well as condition. Both models converge well. The below tables show the summary of the linear mixed effect model for the adult and child subjects, respectively.

For the factors variables, Object, Match, Plural, are coded as +1 while the others are coded to be 0.
  est se stat p
(Intercept) 5258.9676 163.0040 32.2628 0.0000
Group 162.9174 148.5225 1.0969 0.2727
Structure 269.7284 47.8238 5.6400 0.0000
FirstNP 36.7909 50.5812 0.7274 0.4670
Group:Structure 50.3963 31.7440 1.5876 0.1124
Group:FirstNP 43.9533 31.5826 1.3917 0.1640
Structure:FirstNP 18.1692 49.8604 0.3644 0.7156
Group:Structure:FirstNP -0.5681 31.5837 -0.0180 0.9856
  est se stat p
(Intercept) 5258.9676 163.0040 32.2628 0.0000
Group 162.9174 148.5225 1.0969 0.2727
Structure 269.7284 47.8238 5.6400 0.0000
FirstNP 36.7909 50.5812 0.7274 0.4670
Group:Structure 50.3963 31.7440 1.5876 0.1124
Group:FirstNP 43.9533 31.5826 1.3917 0.1640
Structure:FirstNP 18.1692 49.8604 0.3644 0.7156
Group:Structure:FirstNP -0.5681 31.5837 -0.0180 0.9856

The above tables imply that the effects associated with the reaction time are the same for adult and child. For both adult and children subjects, variable structure is statistically significant while al the others are not.

Accuracy

The below figures show the accuracy, in percentage, among different groups and different trails for the adult subjects.

Through the bar charts, one may not conclude that there is significant difference among different group or factors.

1
Similarly,

accuracyiesf or the children, in percentage, among different groups and different trails shown via the charts below also do not illustrate that there is significant difference among different group or factors.

2
For the accuracy,

the generalized linear mixed effect models with a logistic link function are applied to the both adult and child subjects. For the models, the three-way interaction among the group, structure, and FirstNP are considered as the fixed effects. One specifies that there are intercept random effects regarding different subject, item, trail, as well as condition. Both models converge well. The below tables show the summary of the generalized linear mixed effect model for the adult and child subjects, respectively.

Still, initially,

the four-way interaction is built but cannot converge thus it is reduced to the three-way interaction model.

  est se stat p
(Intercept) 4.2279 0.2054 20.5799 0.0000
Group 0.0347 0.1708 0.2029 0.8392
Structure -0.5388 0.0798 -6.7541 0.0000
FirstNP -0.0973 0.0785 -1.2398 0.2151
Group:Structure -0.1501 0.0964 -1.5582 0.1192
Group:FirstNP -0.1114 0.0962 -1.1584 0.2467
Structure:FirstNP 0.0319 0.0788 0.4053 0.6853
Group:Structure:FirstNP 0.0802 0.0962 0.8337 0.4045
  est se stat p
(Intercept) 3.2025 0.1944 16.4741 0.0000
Group 0.0956 0.1641 0.5821 0.5605
Structure -1.0756 0.0914 -11.7697 0.0000
First_NP -0.1892 0.0896 -2.1117 0.0347
Group:Structure -0.0771 0.0755 -1.0214 0.3071
Group:First_NP 0.1068 0.0744 1.4343 0.1515
Structure:First_NP 0.1603 0.0894 1.7922 0.0731
Group:Structure:First_NP -0.0904 0.0744 -1.2141 0.2247
The variable structure are significant to the accuracy for both adults and children.

The variable FirstNP, which is also one of the interests in the project, does not statistically singnficantly associated with the accuracy but yhe interaction of variable FirstNP and structure are slightly significant for child subject.

The proportion of looks towards the correct picture
For the proportion of looks towards the correct picture, one may demonstrate the ratio across the time for different groups through the below figures.

Through the figures below, it is easy to see that  L1 adult have a significant higher ratio while the bilingual and L2 leaner are similar for the adult subjects. For child subject, the bilingual subjects have slightly higher ratio at the beginning but monolingual subjects obtaining higher ratio as time goes on.

34
To model the ratio, one transforms the ratio to the variable elong.

Thus the variable elog is treated as the response in the linear mixed effect model. For both adult and children, the two-way interaction between the group and time are modelled as the fixed effects while the subject, item, trail and condition are considered as the random effects.

The below tables show the summary of the linear mixed effect model for the adult and child subjects, respectively.

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