Metodologi Statistika Baku • Cochran (1977)
Kalkulator Ukuran Sampel Analitis
Perhitungan presisi jumlah responden minimum untuk estimasi proporsi dan rata-rata dengan koreksi Finite Population Correction (FPC).
Cochran (1977), Eq. 4.1 – 4.4
10.000 unit
5.0% (0.05)
±1% (Riset Ketat)±5% (Standar Nasional)±10% (Toleransi Luas)
0.5 (q = 0.50)
Nilai p = 0.5 menghasilkan varians maksimum p(1-p) = 0.25 untuk ukuran sampel paling konservatif.
Kurva Distribusi Normal Baku Z(α/2)P(|Z| ≤ 1.96) = 95%
Distribusi Normal Standar Gauss • Z = 1.960
1 - α = 95%d = ±5.0%
Area Penerimaan Sampel Ilmiah (Cochran 1977)Batas Galat α/2 = 2.5%
UKURAN SAMPEL DIBUTUHKAN (n)Tervalidasi Cochran (1977)
Rekomendasi Jumlah Sampel (n):
370responden
Sampling Fraction (f)
3.70%
f = n / N
Sampel Awal (n₀)
385
Sebelum FPC
Faktor Koreksi FPC
0.9630
1 - (n / N)
Bobot Rata-rata (wᵢ)
27.0x
wᵢ = N / n
Cadangan (+10%)
408
Non-Response
Dasar Formula Baku:
William G. Cochran (1977, Persamaan 4.1 & 4.2, hal. 75-76)
Sensitivitas Ukuran Sampel vs Margin of Error (d)
| Margin of Error (d) | Ukuran Sampel (n) | Fraksi (n/N) |
|---|---|---|
| 1% (0.01) | 4.900 | 49.00% |
| 2% (0.02) | 1.937 | 19.37% |
| 3% (0.03) | 965 | 9.65% |
| 4% (0.04) | 567 | 5.67% |
| 5% (0.05) | 370 | 3.70% |
| 6% (0.06) | 260 | 2.60% |
| 7% (0.07) | 193 | 1.93% |
| 8% (0.08) | 148 | 1.48% |
| 9% (0.09) | 118 | 1.18% |
| 10% (0.1) | 96 | 0.96% |