Statistics-formulas
提供：Dev Guides
統計-数式
以下は、finddevguides統計チュートリアルで使用される統計式のリストです。 各式は、式の使用方法を説明するWebページにリンクされています。
A
- リンク：/statistics/adjusted_r_squared [ Adjusted R-Squared ]-$ \ {R _ \ {adj} ^ 2 = 1-[\ frac \ {（1-R ^ 2）（n-1）} \ {nk- 1}]} $
- リンク：/statistics/arithmetic_mean [算術平均]-$ \ bar \ {x} = \ frac \ {_ \ {\ sum \ {x}}} \ {N} $
- link：/statistics/arithmetic_median [ Arithmetic Median ]-Median = Value of $ \ frac \ {N + 1} \ {2}）^ \ {th} \ item $
- link：/statistics/arithmetic_range [ Arithmetic Range ]-$ \ {Coefficient \ of \ Range = \ frac \ {L-S} \ {L + S}} $
B
- リンク：/statistics/best_point_estimation [ベストポイント推定]-$ \ {MLE = \ frac \ {S} \ {T}} $
- link：/statistics/binomial_distribution [ Binomial Distribution ]-$ \ {P（X-x）} = ^ \ {n} \ {C_x} \ {Q ^ \ {n-x}}。\ {p ^ x} $
C
- リンク：/statistics/chebyshev_theorem [チェビシェフの定理]-$ \ {1- \ frac \ {1} \ {k ^ 2}} $
- link：/statistics/circular_permutation [ Circular Permutation ]-$ \ {P_n =（n-1）！} $
- リンク：/statistics/cohen_kappa_coefficient [コーエンのカッパ係数]-$ \ {k = \ frac \ {p_0-p_e} \ {1-p_e} = 1-\ frac \ {1-p_o} \ {1-p_e} } $
- link：/statistics/combination [ Combination ]-$ \ {C（n、r）= \ frac \ {n！} \ {r！（n-r）！}} $
- link：/statistics/combination_with_replacement [ Recombination with Replacement ]-$ \ {^ nC_r = \ frac \ {（n + r-1）！} \ {r！（n-1）！}} $
- リンク：/statistics/continuous_uniform_distribution [連続均一分布]-f（x）= $ \ begin \ {cases} 1/（ba）、＆\ text \ {when $ a \ le x \ le b $} \\ 0、＆\ text \ {when $ x \ lt a $または$ x \ gt b $} \ end \ {ケース} $
- リンク：/statistics/co_efficient_variation [変動係数]-$ \ {CV = \ frac \ {\ sigma} \ {X} \ times 100} $
- リンク：/statistics/correlation_co_efficient [ Correlation Co-efficient ]-$ \ {r = \ frac \ {N \ sum xy-（\ sum x）（\ sum y）} \ {\ sqrt \ {[N \ sum x ^ 2-（\ sum x）^ 2] [N \ sum y ^ 2-（\ sum y）^ 2]}}} $
- リンク：/statistics/cumulative_poisson_distribution [累積ポアソン分布]-$ \ {F（x、\ lambda）= \ sum _ \ {k = 0} ^ x \ frac \ {e ^ \ {-\ lambda} \ lambda ^ x} \ {k！}} $
D
- リンク：/statistics/deciles_statistics [ Deciles Statistics ]-$ \ {D_i = l + \ frac \ {h} \ {f}（\ frac \ {iN} \ {10}-c）; i = 1,2,3 …、9} $
- リンク：/statistics/deciles_statistics [ Deciles Statistics ]-$ \ {D_i = l + \ frac \ {h} \ {f}（\ frac \ {iN} \ {10}-c）; i = 1,2,3 …、9} $
F
- リンク：/statistics/factorial [ Factorial ]-$ \ {n！ = 1 \ times 2 \ times 3 … \ times n} $
G
- リンク：/statistics/geometric_mean [ Geometric Mean ]-$ G.M. = \ sqrt [n] \ {x_1x_2x_3 … x_n} $
- link：/statistics/geometric_probability_distribution [ Geometric Probability Distribution ]-$ \ {P（X = x）= p \ times q ^ \ {x-1}} $
- リンク：/statistics/grand_mean [ Grand Mean ]-$ \ {X _ \ {GM} = \ frac \ {\ sum x} \ {N}} $
H
- リンク：/statistics/harmonic_mean [調和平均]-$ H.M. = \ frac \ {W} \ {\ sum（\ frac \ {W} \ {X}）} $
- リンク：/statistics/harmonic_mean [調和平均]-$ H.M. = \ frac \ {W} \ {\ sum（\ frac \ {W} \ {X}）} $
- リンク：/statistics/hypergeometric_distribution [ Hypergeometric Distribution ]-$ \ {h（x; N、n、K）= \ frac \ {[C（k、x）] [C（Nk、nx）]} \ { C（N、n）}} $
I
- リンク：/statistics/interval_estimation [間隔推定]-$ \ {\ mu = \ bar x \ pm Z _ \ {\ frac \ {\ alpha} \ {2}} \ frac \ {\ sigma} \ {\ sqrt n}}ドル
L
- リンク：/statistics/logistic_regression [ Logistic Regression ]-$ \ {\ pi（x）= \ frac \ {e ^ \ {\ alpha + \ beta x}} \ {1 + e ^ \ {\ alpha + \ベータx}}} $
M
- リンク：/statistics/mean_deviation [平均偏差]-$ \ {MD} = \ frac \ {1} \ {N} \ sum \ {| XA |} = \ frac \ {\ sum \ {| D |} } \ {N} $
- リンク：/statistics/means_difference [ Mean Difference ]-$ \ {Mean \ Difference = \ frac \ {\ sum x_1} \ {n}-\ frac \ {\ sum x_2} \ {n}} $
- link：/statistics/multinomial_distribution [ Multinomial Distribution ]-$ \ {P_r = \ frac \ {n！} \ {（n_1！）（n_2！）…（n_x！）} \ {P_1} ^ \ { n_1} \ {P_2} ^ \ {n_2} … \ {P_x} ^ \ {n_x}} $
N
- リンク：/statistics/negative_binomial_distribution [負の二項分布]-$ \ {f（x）= P（X = x）=（x-1r-1）（1-p）x-rpr} $
- link：/statistics/normal_distribution [ Normal Distribution ]-$ \ {y = \ frac \ {1} \ {\ sqrt \ {2 \ pi}} e ^ \ {\ frac \ {-（x-\ mu） ^ 2} \ {2 \ sigma}}} $
O
- link：/statistics/one_proportion_z_test [ One Proportion Z Test ]-$ \ {z = \ frac \ {\ hat p -p_o} \ {\ sqrt \ {\ frac \ {p_o（1-p_o）} \ {n }}}} $
P
- link：/statistics/permutation [ Permutation ]-$ \ {\ {^ nP_r = \ frac \ {n！} \ {（n-r）！}} $
- リンク：/statistics/permutation_with_replacement [置換を伴う置換]-$ \ {^ nP_r = n ^ r} $
- リンク：/statistics/poisson_distribution [ポアソン分布]-$ \ {P（X-x）} = \ {e ^ \ {-m}}。\ frac \ {m ^ x} \ {x！} $
- link：/statistics/probability [ probability ]-$ \ {P（A）= \ frac \ {Number \ of \ favourable \ Cases} \ {Total \ number \ of \ equally \ like \ Cases} = \ frac \ {m} \ {n}} $
- リンク：/statistics/probability_additive_theorem [確率加法定理]-$ \ {P（A \ or \ B）= P（A）+ P（B）\\ [7pt] P（A \ cup B）= P（A）+ P（B）} $
- link：/statistics/probability_multiplecative_theorem [確率乗法定理]-$ \ {P（A \ and \ B）= P（A）\ times P（B）\\ [7pt] P（AB）= P（A）\ times P（B）} $
- link：/statistics/probability_bayes_theorem [確率ベイズの定理]-$ \ {P（A_i/B）= \ frac \ {P（A_i）\ times P（B/A_i）} \ {\ sum _ \ {i = 1 } ^ k P（A_i）\ times P（B/A_i）}} $
- リンク：/statistics/probability_density_function [確率密度関数]-$ \ {P（a \ le X \ le b）= \ int_a ^ b f（x）d_x} $
R
- link：/statistics/reliability_coefficient [ Reliability Coefficient ]-$ \ {Reliability \ Coefficient、\ RC =（\ frac \ {N} \ {（N-1）}）\ times（\ frac \ {（Total \ Variance \-Sum \ of \ Variance）} \ {Total Variance}）} $
- リンク：/statistics/residual_sum_of_squares [残差平方和]-$ \ {RSS = \ sum _ \ {i = 0} ^ n（\ epsilon_i）^ 2 = \ sum _ \ {i = 0} ^ n（y_i- （\ alpha + \ beta x_i））^ 2} $
S
- リンク：/statistics/shannon_wiener_diversity_index [ Shannon Wiener Diversity Index ]-$ \ {H = \ sum [（p_i）\ times ln（p_i）]} $
- リンク：/statistics/standard_deviation [標準偏差]-$ \ sigma = \ sqrt \ {\ frac \ {\ sum _ \ {i = 1} ^ n \ {（x- \ bar x）^ 2}} \ { N-1}}ドル
- リンク：/statistics/standard_error [標準エラー（SE）]-$ SE_ \ bar \ {x} = \ frac \ {s} \ {\ sqrt \ {n}} $
- link：/statistics/sum_of_square [ Sum of Square ]-$ \ {Sum \ of \ Squares \ = \ sum（x_i-\ bar x）^ 2} $
T
- リンク：/statistics//trimmed_mean [トリミングされた平均]-$ \ mu = \ frac \ {\ sum \ {X_i}} \ {n} $
