Source: https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-8-chi-squared-test

[Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [IB Diploma](https://senecalearning.com/en-gb/revision-notes/ib-diploma.md) › [Biology](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology.md) › [Biology: IB Diploma](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma.md) › Chi-Squared Test

# Chi-Squared Test

Biology: IB Diploma Higher Level, topic 8.1.8

## Overview of Chi-Squared

The chi-squared test is used in genetics to compare the goodness of fit of observed data with expected data. It tests if the difference between observed and expected values is due to chance.

### Inheritance

![Inheritance](https://image-v2.cdn.app.senecalearning.com/courseImages/biology/6.1.3%20-%20Genetic%20inheritance/6.1.6a%20Punnet%20square,%20pea%20plant%20colour-min.png)

- Genetic diagrams are used to predict the expected phenotypic ratio of offspring.
- Predictions are rarely 100% accurate because of the random nature of gametes fusing during fertilisation.
- Chi-squared is used to compare observed phenotypic ratios with expected ratios.
- Chi-squared tells us if the difference between the observed and expected ratios are due to chance.

### Requirements

![Requirements](https://image-v2.cdn.app.senecalearning.com/2018-09/19bdf08e-4df4-456b-96bf-03f08ce6f278/discrete.png)

- The Chi-squared test is used when:
 - Variation is discrete not continuous. This means the data are in categories (e.g. Aa and aa).
 - Data show absolute numbers (whole numbers), normally frequencies.

### Null hypothesis

![Null hypothesis](https://image-v2.cdn.app.senecalearning.com/2018-05/d9abeb87-aa7a-42d6-adef-7e16a3f6dc59/tick-305245_960_720.png)

- Before using chi-squared, a null hypothesis is stated.
- The null hypothesis is:
 - 'There is no significant difference between observed and expected data, the difference is due to chance'.
- The chi-squared test is used to reject or accept the null hypothesis.

### Equation

![Equation](https://image-v2.cdn.app.senecalearning.com/courseImages/chemistry/6.1.1%20Calculating%20rates%20of%20reactions/calculator-385506_640-min.jpg)

- The equation for chi-squared is:
 - $$\chi = \Sigma \; \frac{(O - E)^2}{E}$$
    - O = observed values.
    - E = expected values.

## Chi-Squared Test

The steps involved in applying the chi-squared test are:

### Equation

![Equation](https://image-v2.cdn.app.senecalearning.com/courseImages/chemistry/6.1.1%20Calculating%20rates%20of%20reactions/calculator-385506_640-min.jpg)

- The equation for chi-squared is:
- $$\chi = \Sigma \; \frac{O - E)^2}{E}$$
    - O = observed values.
    - E = expected values.

### 1) Calculate expected values

![1) Calculate expected values](https://image-v2.cdn.app.senecalearning.com/courseImages/biology/6.2.1%20-%20Variation%20and%20evolution/6.1.6a%20Punnet%20square,%20pea%20plant%20colour-min.jpg)

- To use the chi-squared equation, the expected values need to be calculated.
- Expected values are predicted using genetic diagrams.
- The expected values are the phenotypic ratios given by the genetic diagram.
- Compare the expected values with observed values and use these numbers in the equation.

### 2) Calculate chi-squared

![2) Calculate chi-squared](https://image-v2.cdn.app.senecalearning.com/courseImages/chemistry/6.1.1%20Calculating%20rates%20of%20reactions/calculator-385506_640-min.jpg)

- Using the chi-squared equation, calculate the chi-squared value.

### 3) Find the critical value

![3) Find the critical value](https://image-v2.cdn.app.senecalearning.com/courseImages/chemistry/6.1.1%20Calculating%20rates%20of%20reactions/calculator-385506_640-min.jpg)

- Calculate the degrees of freedom.
 - Degrees of freedom = the number of categories (e.g. phenotypes) − 1.
- Find the critical value that corresponds to the degrees of freedom in a probability distribution table at 0.05 significance level.

### 4) Accept the null hypothesis?

![4) Accept the null hypothesis?](https://image-v2.cdn.app.senecalearning.com/2018-05/d9abeb87-aa7a-42d6-adef-7e16a3f6dc59/tick-305245_960_720.png)

- Compare the chi-squared value to the critical value.
- If the chi-squared value is lower than the critical value - accept the null hypothesis.
 - The difference between observed and expected data is due to chance.

### Reject the null hypothesis?

![Reject the null hypothesis?](https://image-v2.cdn.app.senecalearning.com/2018-07/bbe834da-168d-4574-9f16-fde1649a1cca/Letter-X-Not-Allowed-No-Entry-.jpg)

- If the chi-squared value is greater than the critical value - reject the null hypothesis.
 - The difference between observed and expected data is NOT due to chance. 
 - This means we would get this chi-squared value in less than 5% of cases, which is very unlikely.

## Test yourself on Chi-Squared Test

- What are the requirements for the chi-squared test?
- Why are predictions of phenotypic ratios rarely 100% accurate?
- Which of the following statements about chi-squared are true?
- Stages of the Chi-Squared Test
- When is the null hypothesis rejected?

[Practise this topic for free](https://app.senecalearning.com/classroom/course/549189f7-f13a-4c5c-b80c-ea1bd3036d78/section/d5f42ff5-1ece-4589-8155-157adb949b31/session)

- Previous topic: [8.1.7 Eutrophication](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-7-eutrophication.md)
- Next topic: [8.2.1 Energy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-2-1-energy.md)

## Biology: IB Diploma Higher Level contents

### 1 Unity & Diversity - Molecules
- 1.1 Water
  - [1.1.1 The Importance of Water](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-1-1-the-importance-of-water.md)
  - [1.1.2 The Structure of Water](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-1-2-the-structure-of-water.md)
  - [1.1.3 The Properties of Water](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-1-3-the-properties-of-water.md)
  - [1.1.4 IB Multiple Choice - Water & Hydrogen Bonding](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-1-4-ib-multiple-choice-water-and-hydrogen-bonding.md)
  - [1.1.5 Extended Response - Water](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-1-5-extended-response-water.md)
- 1.2 DNA Structure & Replication
  - [1.2.1 DNA](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-2-1-dna.md)
  - [1.2.2 RNA](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-2-2-rna.md)
  - [1.2.3 Semi-Conservative DNA Replication](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-2-3-semi-conservative-dna-replication.md)
  - [1.2.4 DNA Replication](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-2-4-dna-replication.md)
  - [1.2.5 DNA Replication - Summary](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-2-5-dna-replication-summary.md)
  - [1.2.6 IB Multiple Choice -  DNA Replication](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-2-6-ib-multiple-choice-dna-replication.md)
- 1.3 Transcription & Gene Expression
  - [1.3.1 Introduction to Transcription & Protein Synthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-3-1-introduction-to-transcription-and-protein-synthesis.md)
  - [1.3.2 Types of RNA](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-3-2-types-of-rna.md)
  - [1.3.3 Transcription](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-3-3-transcription.md)
  - [1.3.4 RNA Processing in Eukaryotes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-3-4-rna-processing-in-eukaryotes.md)
  - [1.3.5 IB Multiple Choice - Transcription](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-3-5-ib-multiple-choice-transcription.md)
- 1.4 Translation
  - [1.4.1 Translation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-4-1-translation.md)
  - [1.4.2 Retroviruses](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-4-2-retroviruses.md)
  - [1.4.3 Scientific Practices: Coronavirus](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-4-3-scientific-practices-coronavirus.md)
  - [1.4.4 IB Multiple Choice - Translation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/1-4-4-ib-multiple-choice-translation.md)

### 2 Unity & Diversity - Cells
- 2.1 The Origin of Cells
  - [2.1.1 Origins - Endosymbiosis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-1-1-origins-endosymbiosis.md)
- 2.2 Introduction to Cells
  - [2.2.1 Introduction to Cells](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-2-1-introduction-to-cells.md)
  - [2.2.2 Cell Size & Surface Area](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-2-2-cell-size-and-surface-area.md)
  - [2.2.3 Surface Area to Volume Ratio](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-2-3-surface-area-to-volume-ratio.md)
  - [2.2.4 Eukaryotic vs Prokaryotic Cells](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-2-4-eukaryotic-vs-prokaryotic-cells.md)
  - [2.2.5 Stem Cells](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-2-5-stem-cells.md)
  - [2.2.6 Stem Cells in Disease](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-2-6-stem-cells-in-disease.md)
- 2.3 Ultrastructure of Cells
  - [2.3.1 Golgi, Lysosomes & Ribosomes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-3-1-golgi-lysosomes-and-ribosomes.md)
  - [2.3.2 Cell Walls & Vacuole](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-3-2-cell-walls-and-vacuole.md)
  - [2.3.3 Prokaryotes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-3-3-prokaryotes.md)
  - [2.3.4 Binary Fission](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-3-4-binary-fission.md)
- 2.4 Cell Division
  - [2.4.1 The Cell Cycle](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-4-1-the-cell-cycle.md)
  - [2.4.2 Mitosis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-4-2-mitosis.md)
  - [2.4.3 Regulation of the Cell Cycle](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-4-3-regulation-of-the-cell-cycle.md)
  - [2.4.4 End of Topic Quiz - The Cell Cycle](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-4-4-end-of-topic-quiz-the-cell-cycle.md)
  - [2.4.5 IB Multiple Choice - The Cell Cycle](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-4-5-ib-multiple-choice-the-cell-cycle.md)
  - [2.4.6 Extended Response - Mitosis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-4-6-extended-response-mitosis.md)
- 2.5 Structure of DNA & RNA
  - [2.5.1 DNA & RNA](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-5-1-dna-and-rna.md)
- 2.6 DNA Replication, Transcription & Translation
  - [2.6.1 Protein Synthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-6-1-protein-synthesis.md)
  - [2.6.2 Transcription & Translation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-6-2-transcription-and-translation.md)
  - [2.6.3 End of Topic Test - DNA, Genes & Protein Synthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-6-3-end-of-topic-test-dna-genes-and-protein-synthesis.md)
  - [2.6.4 Exam-Style Question - Protein Synthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-6-4-exam-style-question-protein-synthesis.md)
  - [2.6.5 End of Topic Test - Coronavirus Translation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-6-5-end-of-topic-test-coronavirus-translation.md)
  - [2.6.6 IB Multiple Choice - Transcription](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-6-6-ib-multiple-choice-transcription.md)
  - [2.6.7 IB Multiple Choice - Translation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-6-7-ib-multiple-choice-translation.md)
- 2.7 Cell Respiration
  - [2.7.1 Overview of Respiration](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-7-1-overview-of-respiration.md)
  - [2.7.2 Anaerobic Respiration](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-7-2-anaerobic-respiration.md)
  - [2.7.3 End of Topic Test - Anaerobic Respiration](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-7-3-end-of-topic-test-anaerobic-respiration.md)
  - [2.7.4 Respiration Experiments](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-7-4-respiration-experiments.md)
  - [2.7.5 End of Topic Test - Respiration](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-7-5-end-of-topic-test-respiration.md)
  - [2.7.6 IB Multiple Choice - Respiration](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-7-6-ib-multiple-choice-respiration.md)
- 2.8 Photosynthesis
  - [2.8.1 Overview of Photosynthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-8-1-overview-of-photosynthesis.md)
- 2.9 Viruses
  - [2.9.1 Viruses](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/2-9-1-viruses.md)

### 3 Unity & Diversity - Organisms
- 3.1 Diversity of Organisms
  - [3.1.1 Chromosomal Theory of Inheritance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-1-1-chromosomal-theory-of-inheritance.md)
  - [3.1.2 Chromosomal Basis of Inherited Disorders](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-1-2-chromosomal-basis-of-inherited-disorders.md)
  - [3.1.3 IB Multiple Choice - Chromosomal Inheritance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-1-3-ib-multiple-choice-chromosomal-inheritance.md)
- 3.2 Evidence for Evolution
  - [3.2.1 Evidence for Evolution - Fossils & DNA](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-2-1-evidence-for-evolution-fossils-and-dna.md)
  - [3.2.2 Evidence for Evolution - Anatomy & Geography](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-2-2-evidence-for-evolution-anatomy-and-geography.md)
  - [3.2.3 IB Multiple Choice - Evidence for Evolution](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-2-3-ib-multiple-choice-evidence-for-evolution.md)
  - [3.2.4 Extended Response - DNA & Evolution](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-2-4-extended-response-dna-and-evolution.md)
- 3.3 Natural Selection
  - [3.3.1 Introduction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-3-1-introduction.md)
  - [3.3.2 Evolutionary Fitness](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-3-2-evolutionary-fitness.md)
  - [3.3.3 Natural Selection & Variation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-3-3-natural-selection-and-variation.md)
  - [3.3.4 End of Topic Quiz - Natural Selection](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-3-4-end-of-topic-quiz-natural-selection.md)
  - [3.3.5 IB Multiple Choice - Natural Selection](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-3-5-ib-multiple-choice-natural-selection.md)
  - [3.3.6 Speciation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/3-3-6-speciation.md)

### 4 Unity & Diversity - Ecosystems
- 4.1 Classification
  - [4.1.1 Introduction to Biodiversity](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-1-1-introduction-to-biodiversity.md)
  - [4.1.2 Keystone Species](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-1-2-keystone-species.md)
  - [4.1.3 Courtship & Ancestry](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-1-3-courtship-and-ancestry.md)
  - [4.1.4 Classification](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-1-4-classification.md)
- 4.2 Cladistics
  - [4.2.1 Evolutionary Relationships](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-2-1-evolutionary-relationships.md)
  - [4.2.2 IB Multiple Choice - Species & Taxonomy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-2-2-ib-multiple-choice-species-and-taxonomy.md)
- 4.3 Evolution & Speciation
  - [4.3.1 Evidence for Evolution - Fossils & DNA](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-1-evidence-for-evolution-fossils-and-dna.md)
  - [4.3.2 Evidence for Evolution - Anatomy & Geography](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-2-evidence-for-evolution-anatomy-and-geography.md)
  - [4.3.3 IB Multiple Choice - Evidence for Evolution](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-3-ib-multiple-choice-evidence-for-evolution.md)
  - [4.3.4 Extended Response - DNA & Evolution](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-4-extended-response-dna-and-evolution.md)
  - [4.3.5 Populations](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-5-populations.md)
  - [4.3.6 Mutations, Genetic Drift, & Gene Flow](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-6-mutations-genetic-drift-and-gene-flow.md)
  - [4.3.7 Speciation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-7-speciation.md)
  - [4.3.8 Rate of Speciation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-8-rate-of-speciation.md)
  - [4.3.9 Allopatric & Sympatric Speciation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-3-9-allopatric-and-sympatric-speciation.md)
- 4.4 Conservation of Biodiversity
  - [4.4.1 Coming Soon!](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/4-4-1-coming-soon.md)

### 5 Form & Function - Molecules
- 5.1 Carbohydrates & Lipids
  - [5.1.1 Monosaccharides](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/5-1-1-monosaccharides.md)
  - [5.1.2 Disaccharides & Polysaccharides](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/5-1-2-disaccharides-and-polysaccharides.md)
  - [5.1.3 Triglycerides & Phospholipids](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/5-1-3-triglycerides-and-phospholipids.md)
  - [5.1.4 Cellulose](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/5-1-4-cellulose.md)
  - [5.1.5 Starch & Glycogen](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/5-1-5-starch-and-glycogen.md)
- 5.2 Proteins
  - [5.2.1 Structure & Functions of Proteins](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/5-2-1-structure-and-functions-of-proteins.md)

### 6 Form & Function - Cells
- 6.1 Membranes & Membrane Transport
  - [6.1.1 Passive Movement Across Membranes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/6-1-1-passive-movement-across-membranes.md)
  - [6.1.2 Active Movement Across Membranes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/6-1-2-active-movement-across-membranes.md)
  - [6.1.3 Endocytosis & Exocystosis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/6-1-3-endocytosis-and-exocystosis.md)
  - [6.1.4 Cell Membrane Structure & Permeability](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/6-1-4-cell-membrane-structure-and-permeability.md)
- 6.2 Organelles & Compartmentalization
  - [6.2.1 Eukaryotic Cells & Organelles](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/6-2-1-eukaryotic-cells-and-organelles.md)
  - [6.2.2 Subcellular Components & Organelles](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/6-2-2-subcellular-components-and-organelles.md)
- 6.3 Cell Specialization
  - [6.3.1 Cell Specialization](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/6-3-1-cell-specialization.md)

### 7 Form & Function - Organisms
- 7.1 Gas Exchange
  - [7.1.1 Lung Structure & Alveoli](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-1-1-lung-structure-and-alveoli.md)
  - [7.1.2 Ventilation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-1-2-ventilation.md)
  - [7.1.3 Lung Disease](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-1-3-lung-disease.md)
  - [7.1.4 Lung Disease Data](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-1-4-lung-disease-data.md)
- 7.2 Transport
  - [7.2.1 The Circulatory System](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-1-the-circulatory-system.md)
  - [7.2.2 The Heart](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-2-the-heart.md)
  - [7.2.3 Blood Vessels](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-3-blood-vessels.md)
  - [7.2.4 Cardiovascular Disease](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-4-cardiovascular-disease.md)
  - [7.2.5 Xylem Structure](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-5-xylem-structure.md)
  - [7.2.6 Cohesion-Tension Theory](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-6-cohesion-tension-theory.md)
  - [7.2.7 Investigating Transpiration Rate](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-7-investigating-transpiration-rate.md)
  - [7.2.8 Phloem Structure](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-8-phloem-structure.md)
  - [7.2.9 Translocation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-2-9-translocation.md)
- 7.3 Muscle & Motility
  - [7.3.1 Skeletal Muscle](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-3-1-skeletal-muscle.md)
  - [7.3.2 Sliding Filament Theory](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-3-2-sliding-filament-theory.md)
  - [7.3.3 Contraction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/7-3-3-contraction.md)

### 8 Form & Function - Ecosystems
- 8.1 Species, Communities & Ecosytems
  - [8.1.1 Population Dynamics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-1-population-dynamics.md)
  - [8.1.2 Communities & Measuring Diversity](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-2-communities-and-measuring-diversity.md)
  - [8.1.3 Relationships Between Populations](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-3-relationships-between-populations.md)
  - [8.1.4 Overview of Ecosystems](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-4-overview-of-ecosystems.md)
  - [8.1.5 Nutrient Cycles](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-5-nutrient-cycles.md)
  - [8.1.6 Fertilisers](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-6-fertilisers.md)
  - [8.1.7 Eutrophication](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-7-eutrophication.md)
  - [8.1.8 Chi-Squared Test](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-1-8-chi-squared-test.md)
- 8.2 Energy Flow
  - [8.2.1 Energy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-2-1-energy.md)
  - [8.2.2 Energy Flow](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-2-2-energy-flow.md)
  - [8.2.3 Biomass & Food Chains](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-2-3-biomass-and-food-chains.md)
  - [8.2.4 Heterotrophs & Autotrophs](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-2-4-heterotrophs-and-autotrophs.md)
- 8.3 Carbon Cycle
  - [8.3.1 Carbon Cycle](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-3-1-carbon-cycle.md)
- 8.4 Climate Change
  - [8.4.1 Carbon Dioxide](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-4-1-carbon-dioxide.md)
  - [8.4.2 The Greenhouse Effect](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-4-2-the-greenhouse-effect.md)
  - [8.4.3 Global Warming](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-4-3-global-warming.md)
  - [8.4.4 Maintaining Biodiversity](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/8-4-4-maintaining-biodiversity.md)

### 9 Interaction & Interdependence - Molecules
- 9.1 Enzymes
  - [9.1.1 Enzymes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-1-1-enzymes.md)
  - [9.1.2 Factors Affecting Enzyme Activity](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-1-2-factors-affecting-enzyme-activity.md)
  - [9.1.3 Enzyme-Controlled Reactions](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-1-3-enzyme-controlled-reactions.md)
  - [9.1.4 End of Topic Test - Enzymes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-1-4-end-of-topic-test-enzymes.md)
- 9.2 Metabolism
  - [9.2.1 Molecules to Metabolism](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-2-1-molecules-to-metabolism.md)
- 9.3 Cell Respiration
  - [9.3.1 Glycolysis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-3-1-glycolysis.md)
  - [9.3.2 Aerobic Respiration](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-3-2-aerobic-respiration.md)
- 9.4 Photosynthesis
  - [9.4.1 Light-Dependent Reaction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-4-1-light-dependent-reaction.md)
  - [9.4.2 Light-Independent Reaction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-4-2-light-independent-reaction.md)
  - [9.4.3 End of Topic Test - Photosynthesis Reactions](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-4-3-end-of-topic-test-photosynthesis-reactions.md)
  - [9.4.4 Limiting Factors](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-4-4-limiting-factors.md)
  - [9.4.5 Photosynthesis Experiments](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-4-5-photosynthesis-experiments.md)
  - [9.4.6 End of Topic Test - Photosynthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-4-6-end-of-topic-test-photosynthesis.md)
  - [9.4.7 End of Topic Test - Photosynthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/9-4-7-end-of-topic-test-photosynthesis.md)

### 10 Interaction & Interdependence - Cells
- 10.1 Chemical Signalling
  - [10.1.1 Coming Soon!](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-1-1-coming-soon.md)
- 10.2 Neural Signalling
  - [10.2.1 Medical Application](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-1-medical-application.md)
  - [10.2.2 Speed of Transmission](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-2-speed-of-transmission.md)
  - [10.2.3 Synapses](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-3-synapses.md)
  - [10.2.4 End of Topic Test - Nervous Comm&Coord](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-4-end-of-topic-test-nervous-commandcoord.md)
  - [10.2.5 Neuron Structure](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-5-neuron-structure.md)
  - [10.2.6 Types of Synapse](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-6-types-of-synapse.md)
  - [10.2.7 End of Topic Test - Neurones & Action Potentials](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-7-end-of-topic-test-neurones-and-action-potentials.md)
  - [10.2.8 Transmission of an Impulse](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-8-transmission-of-an-impulse.md)
  - [10.2.9 End of Topic Test - Synapses](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-2-9-end-of-topic-test-synapses.md)
- 10.3 Adaptation to Environment
  - [10.3.1 Coming Soon!](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-3-1-coming-soon.md)
- 10.4 Ecological Niches
  - [10.4.1 Coming Soon!](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/10-4-1-coming-soon.md)

### 11 Interaction & Interdependence - Organisms
- 11.1 Integration of Body Systems
  - [11.1.1 Plant Tropisms](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/11-1-1-plant-tropisms.md)
- 11.2 Defence Against Disease
  - [11.2.1 Immune System](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/11-2-1-immune-system.md)
  - [11.2.2 The Immune Response](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/11-2-2-the-immune-response.md)
  - [11.2.3 Antibodies](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/11-2-3-antibodies.md)
  - [11.2.4 Primary & Secondary Response](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/11-2-4-primary-and-secondary-response.md)
  - [11.2.5 Vaccines](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/11-2-5-vaccines.md)
  - [11.2.6 HIV](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/11-2-6-hiv.md)
  - [11.2.7 End of Topic Test - Immune System](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/11-2-7-end-of-topic-test-immune-system.md)

### 12 Interaction & Interdependence - Ecosystems
- 12.1 Populations & Communities
  - [12.1.1 Coming Soon!](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/12-1-1-coming-soon.md)
- 12.2 Transfers of Energy & Matter
  - [12.2.1 Coming Soon!](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/12-2-1-coming-soon.md)

### 13 Continuity & Change - Molecules
- 13.1 DNA Replication
  - [13.1.1 DNA Replication](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-1-1-dna-replication.md)
- 13.2 Protein Synthesis
  - [13.2.1 Protein Synthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-2-1-protein-synthesis.md)
  - [13.2.2 Transcription & Translation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-2-2-transcription-and-translation.md)
  - [13.2.3 End of Topic Test - DNA, Genes & Protein Synthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-2-3-end-of-topic-test-dna-genes-and-protein-synthesis.md)
- 13.3 Mutation & Gene Editing
  - [13.3.1 Genes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-3-1-genes.md)
  - [13.3.2 Mutations](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-3-2-mutations.md)
  - [13.3.3 DNA Technology](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-3-3-dna-technology.md)
  - [13.3.4 PCR & Gel Electrophoresis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-3-4-pcr-and-gel-electrophoresis.md)
  - [13.3.5 Genetic Modification](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-3-5-genetic-modification.md)
  - [13.3.6 Cloning](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/13-3-6-cloning.md)

### 14 Continuity & Change - Cells
- 14.1 Gene Expression
  - [14.1.1 Introduction to Transcription & Protein Synthesis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/14-1-1-introduction-to-transcription-and-protein-synthesis.md)
  - [14.1.2 Types of RNA](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/14-1-2-types-of-rna.md)
  - [14.1.3 Transcription](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/14-1-3-transcription.md)
  - [14.1.4 RNA Processing in Eukaryotes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/14-1-4-rna-processing-in-eukaryotes.md)
  - [14.1.5 IB Multiple Choice - Transcription](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/14-1-5-ib-multiple-choice-transcription.md)
- 14.2 Water Potential
  - [14.2.1 Controlling Blood Water Potential](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/14-2-1-controlling-blood-water-potential.md)

### 15 Continuity & Change - Organisms
- 15.1 Inheritance
  - [15.1.1 Non-Nuclear Inheritance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-1-non-nuclear-inheritance.md)
  - [15.1.2 Linked Genes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-2-linked-genes.md)
  - [15.1.3 IB Multiple Choice - Non-Mendelian Genetics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-3-ib-multiple-choice-non-mendelian-genetics.md)
  - [15.1.4 Extended Response - Inheritance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-4-extended-response-inheritance.md)
  - [15.1.5 Introduction to Non-Mendelian Inheritance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-5-introduction-to-non-mendelian-inheritance.md)
  - [15.1.6 Chi-Squared Test](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-6-chi-squared-test.md)
  - [15.1.7 End of Topic Quiz - Inheritance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-7-end-of-topic-quiz-inheritance.md)
  - [15.1.8 Sex-Linked Genes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-8-sex-linked-genes.md)
  - [15.1.9 Grade 4-5 (Scientific Practices) - Inheritance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-1-9-grade-4-5-scientific-practices-inheritance.md)
- 15.2 Homeostasis
  - [15.2.1 Overview of Homeostasis](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-2-1-overview-of-homeostasis.md)
  - [15.2.2 Blood Glucose Concentration](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-2-2-blood-glucose-concentration.md)
  - [15.2.3 Controlling Blood Glucose Concentration](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-2-3-controlling-blood-glucose-concentration.md)
  - [15.2.4 End of Topic Test - Blood Glucose](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-2-4-end-of-topic-test-blood-glucose.md)
  - [15.2.5 Type I & Type II Diabetes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-2-5-type-i-and-type-ii-diabetes.md)
  - [15.2.6 Human Reproductive Systems](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-2-6-human-reproductive-systems.md)
  - [15.2.7 Hormonal Control of the Menstrual Cycle](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-2-7-hormonal-control-of-the-menstrual-cycle.md)
  - [15.2.8 Kidneys & Osmoregulation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/15-2-8-kidneys-and-osmoregulation.md)

### 16 Continuity & Change - Ecosystems
- 16.1 Natural Selection
  - [16.1.1 Natural Selection](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/16-1-1-natural-selection.md)
- 16.2 Stability & Change
  - [16.2.1 Coming Soon!](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/16-2-1-coming-soon.md)
- 16.3 Climate Change
  - [16.3.1 Carbon Dioxide](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/16-3-1-carbon-dioxide.md)
  - [16.3.2 The Greenhouse Effect](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/16-3-2-the-greenhouse-effect.md)
  - [16.3.3 Global Warming](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/16-3-3-global-warming.md)
  - [16.3.4 Maintaining Biodiversity](https://senecalearning.com/en-gb/revision-notes/ib-diploma/biology/biology-ib-diploma/16-3-4-maintaining-biodiversity.md)