[問題] 曲線的假設檢定
先簡述我的問題:
中文在唸"三聲-三聲"和"二聲-三聲"雙字詞時, 聲帶振動頻率是否有差異?
"三聲-三聲"的雙字詞例子為"總統"
"二聲-三聲"的雙字詞例子為"陳腐"
記錄下來的聲帶振動頻率為一個沿著時間變化的函數,
且相鄰取樣點有相關性.
令 三聲-三聲的N筆記錄為 f_i(t) i=1, ..., N
二聲-三聲的N筆記錄為 g_i(t) i=1, ..., N
我現在想要檢定這兩群資料沿著時間是否有差異
( 因人在發音時, 字詞的發音長度無法精確控制, 所以會對每筆錄音的長度正規化,
假設正規化後每條曲線皆有M個取樣點 e.g. f_i(0), f_i(1), ..., f_i(M-1) )
該使用何種檢定方法來檢測這兩群曲線資料呢?
我曾試著查過一些 functional ANOVA 的資料, 但還摸不著頭緒....
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