Upgrade to Pro
— share decks privately, control downloads, hide ads and more …
Speaker Deck
Features
Speaker Deck
PRO
Sign in
Sign up for free
Search
Search
P 値と有意差/分散分析 / P-value, Significant Difference ...
Search
Kenji Saito
PRO
January 03, 2025
Technology
0
110
P 値と有意差/分散分析 / P-value, Significant Difference and Analysis of Variance
早稲田大学大学院経営管理研究科「企業データ分析」2024 冬の第9-10回で使用したスライドです。
Kenji Saito
PRO
January 03, 2025
Tweet
Share
More Decks by Kenji Saito
See All by Kenji Saito
ロボットを雰囲気(ヴァイブ)でプログラミングするこどもたち / Children Vibe-Programming Robots
ks91
PRO
0
8
アカデミーキャンプ 2025 SuuuuuuMMeR「燃えろ!!ロボコン」 / Academy Camp 2025 SuuuuuuMMeR "Burn the Spirit, Robocon!!" DAY 3
ks91
PRO
0
13
アカデミーキャンプ 2025 SuuuuuuMMeR「燃えろ!!ロボコン」 / Academy Camp 2025 SuuuuuuMMeR "Burn the Spirit, Robocon!!" DAY 2
ks91
PRO
0
22
アカデミーキャンプ 2025 SuuuuuuMMeR「燃えろ!!ロボコン」 / Academy Camp 2025 SuuuuuuMMeR "Burn the Spirit, Robocon!!" DAY 1
ks91
PRO
0
140
未来へのフォワードキャスト / Forward Cast to the Future
ks91
PRO
0
76
発表と総括 / Presentations and Summary
ks91
PRO
0
57
サイバーフィジカル社会、金融の未来とアイデアソン / Cyber Physical Society, Future of Finance, and Ideathon
ks91
PRO
0
75
マニフェスト: 人類の知のフロンティアに向けた拡張的足場へ / Manifesto: Toward Expansive Scaffolding for Humanity's Knowledge Frontier
ks91
PRO
0
36
続・スマートコントラクトと分散ファイナンス / Smart Contracts and Decentralized Finance, Continued
ks91
PRO
0
75
Other Decks in Technology
See All in Technology
相互運用可能な学修歴クレデンシャルに向けた標準技術と国際動向
fujie
0
250
AIに頼りすぎない新人育成術
cuebic9bic
3
300
LTに影響を受けてテンプレリポジトリを作った話
hol1kgmg
0
360
Claude Codeから我々が学ぶべきこと
oikon48
10
2.8k
全員が手を動かす組織へ - 生成AIが変えるTVerの開発現場 / everyone-codes-genai-transforms-tver-development
tohae
0
170
大規模イベントに向けた ABEMA アーキテクチャの遍歴 ~ Platform Strategy 詳細解説 ~
nagapad
0
230
Intro to Software Startups: Spring 2025
arnabdotorg
0
250
Agent Development Kitで始める生成 AI エージェント実践開発
danishi
0
150
Telemetry APIから学ぶGoogle Cloud ObservabilityとOpenTelemetryの現在 / getting-started-telemetry-api-with-google-cloud
k6s4i53rx
0
140
「Roblox」の開発環境とその効率化 ~DAU9700万人超の巨大プラットフォームの開発 事始め~
keitatanji
0
120
[OCI Technical Deep Dive] OracleのAI戦略(2025年8月5日開催)
oracle4engineer
PRO
1
170
生成AI導入の効果を最大化する データ活用戦略
ham0215
0
160
Featured
See All Featured
The Art of Programming - Codeland 2020
erikaheidi
54
13k
The Illustrated Children's Guide to Kubernetes
chrisshort
48
50k
Chrome DevTools: State of the Union 2024 - Debugging React & Beyond
addyosmani
7
800
4 Signs Your Business is Dying
shpigford
184
22k
Fantastic passwords and where to find them - at NoRuKo
philnash
51
3.4k
No one is an island. Learnings from fostering a developers community.
thoeni
21
3.4k
Distributed Sagas: A Protocol for Coordinating Microservices
caitiem20
332
22k
Writing Fast Ruby
sferik
628
62k
GraphQLとの向き合い方2022年版
quramy
49
14k
The Invisible Side of Design
smashingmag
301
51k
How To Stay Up To Date on Web Technology
chriscoyier
790
250k
XXLCSS - How to scale CSS and keep your sanity
sugarenia
248
1.3M
Transcript
Corporate data analysis — generated by Stable Diffusion XL v1.0
2024 9-10 P (WBS) 2024 9-10 P — 2025-01-06 – p.1/33
https://speakerdeck.com/ks91/collections/corporate-data-analysis-2024-winter 2024 9-10 P — 2025-01-06 – p.2/33
( ) 1 12 2 • 2 12 2 (B
A ) • 3 12 9 • 4 12 9 • 5 12 16 • 6 12 16 t • 7 12 23 2 ( ) t • 8 12 23 2 ( ) t • 9 1 6 P • 10 1 6 • 11 1 20 12 1 20 13 1 27 14 1 27 W-IOI 2024 9-10 P — 2025-01-06 – p.3/33
( 20 25 ) 1 (20 ) • 2 R
( 55 ) • 3 (32 ) • 4 (14 ) • 5 ( Git) (22 ) • 6 ( ) (24 ) • 7 (1) (25 ) • 8 (2) (25 ) • 9 R ( ) (1) — Welch (17 ) • 10 R ( ) (2) — (21 ) • 11 R ( ) (1) — (15 ) • 12 R ( ) (2) — (19 ) • 13 GPT-4 (19 ) • 14 GPT-4 (29 ) • 15 ( ) LaTeX Overleaf (40 ) • 8 (12/16 ) / (2 ) OK / 2024 9-10 P — 2025-01-06 – p.4/33
( Student µ 95% ) 7 2 t ( t
) 2 ( ) 2 d ( ) ← [ 3] σd 2 t 8 2 t ( t ) 2 ( ) ( ) ← [ 4] σ 2 t 2024 9-10 P — 2025-01-06 – p.5/33
2 2 t 1 9 P P 10 H0 HA
k, N, ¯ ¯ x σ2 ( )MSwithin ( )MSbetween MStotal F F 2024 9-10 P — 2025-01-06 – p.6/33
2024 9-10 P — 2025-01-06 – p.7/33
4. t (1) 2 t (2) 2 t (3) 2025
1 2 ( ) 23:59 JST ( ) Waseda Moodle (Q & A ) (1)(2) Discord 2024 9-10 P — 2025-01-06 – p.8/33
. . . . . . 17 14 (1/3( )
) ( ) → 14 ( ) ( ) → 6 → 3 ( ) → 5 ( ) ( OK) 2 t . . . . . . / . . . ( ) 2024 9-10 P — 2025-01-06 – p.9/33
t t ⇒ ( ) A A xA 2 B
B xB 2 df . . . ⇒ t σ z0.05 . . . ⇒ ( ) t 2024 9-10 P — 2025-01-06 – p.10/33
N (1/2) 2 t 2 2 “ ” 1. 1
2 2. 3. - 2 (n − 1) 4. ÷ ÷ t 5. t (n − 1) t t ⇒ . . . 0 ( ) 2024 9-10 P — 2025-01-06 – p.11/33
N (2/2) 2 t 2 2 1 2 1 2
2 “ ” 1. 2 1 2 2. 3. ( -2) 4. t 1÷ 2 t 5. t (n1 + n2 − 2) t t ⇒ 2024 9-10 P — 2025-01-06 – p.12/33
M ( ) [ 2 t ] 1Day 1Day 1Day
⇒ 2024 9-10 P — 2025-01-06 – p.13/33
K ⇒ . . . 2024 9-10 P — 2025-01-06
– p.14/33
2 t d : µd 0 ( 2 ) :
(1) d d, sd , n, df (2) |d| sd n |t| (3) t0.05 (df) < |t| ( ) R > t.test(sample2, sample1, paired=T) 2024 9-10 P — 2025-01-06 – p.15/33
2 t ( ) 10 ( ) ( ) (
) ( ) ( ) d ( ) d, ( ) sd , ( ) n, ( ) df ( ) t ( ) t ( ) d ( ) sd ( ) n ( ) t df 5% ( ) ( ) ( ) ( ) ( ) 2024 9-10 P — 2025-01-06 – p.16/33
2 t xA xB : µA − µB 0 (
2 ) : (1) xA − xB , sp , nA nB , df (2) |xA − xB | sp nA nB |t| (3) t0.05 (df) < |t| ( ) R > t.test(sample2, sample1, var.equal=T) 2024 9-10 P — 2025-01-06 – p.17/33
2 t ( ) ( ) ( ) ( )
( ) ( ) ( ( ) A B ( ) ) ( ) xA − xB , A B ( ) ( ) sp , ( ) nA nB , ( ) df = nA + nB − 2 ( ) t ( ) t ( ) xA − xB ( ) sp ( ) nA ,nB ( ) t df 5% ( ) ( ) ( ) ( ) ( ) ( ) 2024 9-10 P — 2025-01-06 – p.18/33
K 2 t ( ) ⇒ 2 2024 9-10 P
— 2025-01-06 – p.19/33
N ⇒ (σ) ( σ √n ) ( ) p.121
(standard error) (p.121) (sampling distribution) (p.120) (p.120) ( : ) 2024 9-10 P — 2025-01-06 – p.20/33
K ⇒ . . . AI ( ) . .
. ^^; ( ) 2024 9-10 P — 2025-01-06 – p.21/33
H t 2 Student t t 1 sin(α + β)
= sinαcosβ + cosαsinβ . . . ⇒ 2024 9-10 P — 2025-01-06 – p.22/33
U R ChatGPT ⇒ AI ( ) 2024 9-10 P
— 2025-01-06 – p.23/33
9 P P 2024 9-10 P — 2025-01-06 – p.24/33
α β P P H0 ( ) P 0.05 (P
= 0.015) (P = 0.361) 2024 9-10 P — 2025-01-06 – p.25/33
10 H0 HA k, N, ¯ ¯ x σ2 (
) MSwithin ( )MSbetween MStotal ( SStotal dftotal ) F F 2024 9-10 P — 2025-01-06 – p.26/33
(1/3) k (1) : (2) : σ2 ( ) N(µ,
σ2) µ1 = µ2 = · · · = µk N ( ) ¯ ¯ x ¯ ¯ x = k j=1 nj i=1 xji N (j i N ) 2024 9-10 P — 2025-01-06 – p.27/33
(2/3) ( )MSwithin σ2 MSwithin = SSwithin dfwithin = k
j=1 nj i=1 (xji − ¯ xj )2 N − k ( N− ) ( )MSbetween σ2 MSbetween = SSbetween dfbetween = k j=1 nj (¯ xj − ¯ ¯ x)2 k − 1 ( −1 ) ( H0 σ2 ) 2024 9-10 P — 2025-01-06 – p.28/33
(3/3) MStotal MStotal = SStotal dftotal = k j=1 nj
i=1 (xji − ¯ ¯ x)2 N − 1 ( N − 1 ) : SStotal = SSbetween + SSwithin, dftotal = dfbetween + dfwithin F F = MSbetween MSwithin F0.05 (dfbetween, dfwithin ) < F ( H0 ) 2024 9-10 P — 2025-01-06 – p.29/33
U ( p.227) 20 4 “ U.R” ( anova() )
pp.226–227 2024 9-10 P — 2025-01-06 – p.30/33
2024 9-10 P — 2025-01-06 – p.31/33
5. (1) ( ) (2) 2025 1 16 ( )
23:59 JST ( ) Waseda Moodle (Q & A ) (1)(2) Discord 2024 9-10 P — 2025-01-06 – p.32/33
2024 9-10 P — 2025-01-06 – p.33/33