Öz
Amaç
İnsomnia, uygun fırsat ve koşulların varlığına rağmen uykuya dalma veya uykuda kalma konusunda kalıcı güçlüklerle karakterize edilen ve yaygın görülen psikiyatrik bir durumdur. İnsomnia riskini belirlemek için yedi temel parametreden oluşan bir İnsomnia Şiddet İndeksi kullanılır. Temel parametrelere dayalı olarak insomnia şiddetini tahmin etmek için kübik bir polinom regresyon modeli geliştirilmiştir.
Gereç ve Yöntem
Model, değişkenler arasındaki doğrusal olmayan bağımlılıkları yakalayarak doğruluğu artırmak için kuadratik ve kübik terimleri entegre etmektedir. Kararlılığı artırmak ve aşırı uyumu önlemek için en küçük kareler regresyonu ve ridge düzenlemesi kullanılmıştır.
Bulgular
Modelin performansı ortalama karesel hata (MSE) ve determinasyon katsayısı R-kare (R2) kullanılarak değerlendirilmiş ve insomnia şiddetindeki eğilimleri etkili bir şekilde temsil eden bir doğruluk neticesine ulaşılmıştır. Ulaşılan sonuçlar, kübik polinom modelinin tahmin güvenilirliğini önemli ölçüde arttırdığını ve daha basit polinom yaklaşımlarından elde edilen MSE değerini 0.0018 seviyelerine düşürdüğünü ve R2 değerini 0,98 seviyesine ulaştırdığını göstermiştir.
Sonuç
Performans sonuçlarına göre, model tarafından tahmin edilen insomnia şiddeti, gerçek gözlem verileriyle büyük ölçüde örtüşmektedir. Bu da modelin, uyku bozukluklarını doğru bir şekilde analiz edebildiğini ve güvenilir tahminler yapabildiğini kanıtlamaktadır. Bu bulgular, gelişmiş polinom regresyonunun uyku analizinde değerli bir araç olabileceğini ve insomnia şiddetini daha iyi anlamak ve tahmin etmek için veri odaklı bir yaklaşım sağlayabileceğini göstermektedir.
Anahtar Kelimeler:
İnsomnia, İnsomnia Şiddet İndeksi, uyku sorunları, tahmin algoritması, kübik polinom regresyonu
Kaynaklar
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