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The transitions that students experience are displayed in table 2. We see that the vast majority of students have a teacher of the same race throughout the grades, and that other treatment paths have less support. This means that the standard errors produced in the estimation process will be conservative in terms of inference by favoring the null hypothesis, ceteris paribus.

Table 2. 
Transition Tree
KindergartenFirst GradeSecond GradeThird Grade
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
KindergartenFirst GradeSecond GradeThird Grade
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    
    

Notes: The number of students that experience each treatment path are given after the equal sign. A downward move corresponds to in the previous period, and an upward move signifies in the previous period. A floating dot symbol denotes attrition in period . For example, 108 children had the sequence then attrited in the second grade, and 43 children have undergone the treatment sequence .

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