量化數據與分析 互動式教學

從一根 PCR 試管到一份統計報告——14 章帶你掌握生物醫學量化實驗、統計推論、組學定量與再現性報告,搭配 R + Python 雙語程式碼與互動模擬。

From a single PCR tube to a publication-ready report — 14 chapters covering biomedical quantitative assays, statistical inference, omics quantification, and reproducible reporting, with R + Python code and interactive simulations.

01 實驗量化方法

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Step 1

qPCR / RT-qPCR 定量

Ct/Cq 值、ΔΔCt、標準曲線、PCR 效率、MIQE 規範與相對 vs 絕對定量。

Cq values, ΔΔCt, standard curves, PCR efficiency, MIQE guidelines, relative vs absolute quantification.

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Step 2

Western Blot 定量

Band intensity、loading control、total protein normalization、線性動態範圍、Stain-free 與 housekeeping 比較。

Band intensity, loading controls, total-protein normalization, linear dynamic range, stain-free vs housekeeping.

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Step 3

ELISA 與標準曲線

4-PL / 5-PL 擬合、LOD/LOQ、回收率、CV%、平行性測試與抗體驗證。

4-PL / 5-PL fitting, LOD/LOQ, recovery, CV%, parallelism and antibody validation.

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Step 4

流式細胞術定量

補償、gating、MFI vs % positive、絕對細胞計數、spectral 解析與 FMO 控制。

Compensation, gating, MFI vs % positive, absolute cell counts, spectral unmixing and FMO controls.

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Step 5

影像定量分析

ROI、強度量化、背景校正、共定位 (Pearson/Manders)、Fiji 與 CellProfiler 工作流。

ROI selection, intensity quantification, background correction, colocalization (Pearson/Manders), Fiji and CellProfiler workflows.

02 統計推論與分析

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Step 6

探索性資料分析

描述統計、分布視覺化、常態性檢定、離群值偵測與資料清理。

Descriptive stats, distribution plots, normality tests, outlier detection, data cleaning.

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Step 7

假設檢定

t-test、Mann-Whitney、Wilcoxon、ANOVA、Kruskal-Wallis 與卡方檢定的選擇與解讀。

t-test, Mann-Whitney, Wilcoxon, ANOVA, Kruskal-Wallis, and chi-square — when to use and how to interpret.

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Step 8

多重比較與校正

FWER vs FDR、Bonferroni、Holm、BH-FDR、Tukey HSD 與 q-value 在組學分析的應用。

FWER vs FDR, Bonferroni, Holm, BH-FDR, Tukey HSD, and q-values in omics-scale testing.

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Step 9

回歸與劑量反應

線性與非線性回歸、Pearson/Spearman、EC50/IC50、Hill 方程式與 Michaelis-Menten。

Linear and nonlinear regression, Pearson/Spearman, EC50/IC50, Hill equation, Michaelis-Menten kinetics.

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Step 10

效應量與樣本數

Cohen's d、η²、OR/RR、信賴區間、Power analysis 與 a priori 樣本數計算。

Cohen's d, η², OR/RR, confidence intervals, power analysis, and a priori sample size calculations.

03 進階主題

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Advanced

組學定量分析

RNA-seq / Proteomics counts、TPM/FPKM、DESeq2 normalization、log2FC 與 PCA。

RNA-seq / proteomics counts, TPM/FPKM, DESeq2 normalization, log2FC and PCA workflows.

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Advanced

資料視覺化與報告

Box / violin / forest plot、heatmap、volcano、ggplot2 與 seaborn 的設計原則與避雷。

Box/violin/forest plots, heatmaps, volcanoes, ggplot2 and seaborn — design principles and pitfalls.

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Advanced

再現性與報告標準

MIQE、ARRIVE 2.0、CONSORT、FAIR 原則、preregistration 與 RMarkdown / Quarto 報告。

MIQE, ARRIVE 2.0, CONSORT, FAIR principles, preregistration, and RMarkdown / Quarto reports.

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Advanced

AI / ML 量化分析

Regression / Classification、cross-validation、ROC/PR-AUC、SHAP 解釋性與外部驗證。

Regression / classification, cross-validation, ROC/PR-AUC, SHAP explainability, and external validation.

04 延伸學習

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References

參考資料佐證

14 主題的權威文獻、報告規範(MIQE、ARRIVE、CONSORT)、官方手冊與教科書頁碼整理,附 DOI 連結。

Authoritative papers, reporting guidelines (MIQE, ARRIVE, CONSORT), official manuals, and textbook citations — with DOI links.

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Quiz

互動式考題

涵蓋 14 主題的單選、多選、是非題,含錯題複習、隨機練習與多使用者進度追蹤。

Single-choice, multi-select, and true/false questions for all 14 topics, with wrong-answer review and progress tracking.