FUNCTIONAL DATA ANALYSIS AND A GENERALIZATION OF THE WILCOXON RANK TEST APPLIED TO GROWTH DATA

Abstract

THROUGHOUT THIS WORK, A STUDY AND COMPARISON WILL BE MADE BETWEEN SEVERAL FUNCTION SMOOTHING TECHNIQUES THAT ALLOW US TO UNDERSTAND THE STRENGTHS AND WEAKNESSES OF EACH OF THEM, ALWAYS FOCUSED ON A REAL CASE USING AS A BASIS A SET OF DATA THAT REPRESENTS THE EVOLUTION OF THE HEIGHT OF A SET OF INDIVIDUALS FROM 0 TO 18 YEARS OLD. AFTER CHOOSING THE MOST APPROPRIATE SMOOTHING TECHNIQUE, AN IN-DEPTH STUDY WILL BE CARRIED OUT AS WELL AS A WILCOXON TEST THAT WILL ALLOW US TO COMPARE 2 SETS OF DATA AND DETERMINE WHETHER THEY COME FROM THE SAME POPULATION OR NOT.