Variables and experimental design: HSC Investigating Science Module 5
“Plan investigations to ensure that they are valid and reliable, including the use of an appropriate experimental design with consideration of independent, dependent and controlled variables”
A valid experiment isolates a single independent variable, measures its effect on a single dependent variable, holds controlled variables constant, and includes a control group plus replication, allowing the observed effect to be attributed to the treatment rather than to confounders or measurement error.
Jump to a section
What this dot point is asking
NESA wants you to identify the independent, dependent and controlled variables for any given investigation, explain the role of a control group, and design an experiment that produces valid first-hand data. This is fundamental and appears in nearly every Investigating Science paper.
The answer
A scientific investigation tests a hypothesis by changing one thing, measuring the result, and holding everything else constant. Three types of variables structure this design.
Independent variable
The variable that the researcher deliberately changes to test its effect. There is normally one independent variable per experiment, set at multiple levels (e.g. 0, 10, 20, 30 degrees Celsius).
Dependent variable
The variable that the researcher measures to see how it responds. It depends on the independent variable.
Example. In a fertiliser experiment, the independent variable is fertiliser concentration (mg/L) and the dependent variable is tomato yield (kg per plant).
Controlled variables
The variables held constant across all treatment groups to prevent them from confounding the result. In the fertiliser experiment, controlled variables include soil type, watering schedule, sunlight, plant variety and starting plant size.
Control group
A group treated identically to the experimental groups except that it receives no treatment (or a placebo). The control group establishes the baseline against which treatment effects are compared.
Example. A control group of tomato plants given water but no fertiliser. The difference in yield between treated and control plants is attributed to the fertiliser, provided controlled variables are properly held constant.
Replication and sample size
Repeating the experiment, or running multiple individuals per condition, accounts for biological variation and measurement error. NESA expects students to identify a minimum number of replicates (often 5 to 10 per condition) and to repeat the experiment at least three times.
Randomisation and blinding
In human or animal studies, randomisation assigns subjects to treatment groups by chance to reduce selection bias. Blinding prevents the researcher or the subject from knowing the treatment assignment. Double-blind designs are the gold standard in clinical trials.
Common designs
- Comparative design
- Two or more groups treated differently and compared. Most school experiments fit here.
- Time-series design
- One subject measured repeatedly over time as the independent variable changes.
- Factorial design
- Multiple independent variables changed simultaneously to detect interactions (e.g. temperature and pH on enzyme activity).
A student wants to investigate whether vitamin C concentration affects the rate of catalase activity.
Independent variable. Vitamin C concentration in the reaction mixture (0, 5, 10, 20 mg/mL).
Dependent variable. Volume of oxygen produced in 60 seconds (mL).
Controlled variables. Hydrogen peroxide concentration, temperature (25 degrees Celsius), pH (7), catalase volume (1 mL of standard liver homogenate), reaction time (60 seconds).
Control group. Reaction with hydrogen peroxide and catalase but no vitamin C.
Replication. Three replicate reactions per concentration, repeated twice.
This design isolates the effect of vitamin C on catalase activity. The control quantifies the baseline rate, and replication accounts for measurement variability.
- Confusing controlled variables with the control group
- Controlled variables are factors held constant. The control group is a sample treated without the independent variable.
- Listing only one or two controlled variables
- Examiners reward thorough lists. Three to five is the standard.
- No replication
- A single measurement per condition cannot account for variability. Always specify replicates.
- Changing multiple variables at once
- With two simultaneous changes you cannot attribute the result to either variable.
Examples in context
Example 1. Pittwater oyster growth at the Sydney Institute of Marine Science. Researchers investigating whether ocean acidification affects Sydney rock oyster (Saccostrea glomerata) growth manipulate the independent variable, dissolved CO2 (set to 400, 600, 800 and 1000 ppm in seawater tanks). The dependent variable is shell mass gained per oyster over 12 weeks. Controlled variables include temperature (22 degrees C), salinity (35 ppt), feeding rate (algae per day), light cycle (12:12) and oyster size at the start. A control group is held at present-day atmospheric CO2 (400 ppm). Sample size is 30 oysters per tank, with three replicate tanks per CO2 level to account for tank-effects, allowing statistical separation of the treatment effect from biological variation.
Example 2. Murray-Darling environmental flow trials. The Murray-Darling Basin Authority releases controlled water pulses into the Macquarie Marshes to test whether environmental flows improve waterbird breeding success. The independent variable is flow volume in gigalitres per release; the dependent variable is the number of nesting pairs of straw-necked ibis. Controlled variables include season of release, baseline water level, surrounding land use and observer protocol. Because true randomisation is not possible (sites are fixed in geography), researchers use a before-after-control-impact (BACI) design, comparing the same site across years with and without flow events. This compromise is common in field ecology where laboratory-style controls cannot be imposed.
Try this
Q1. A student investigates whether "music helps memory." Identify the independent and dependent variables they should specify, and list three controlled variables required for a valid investigation. [4 marks]
- Cue. IV: specified genre and decibel level. DV: number of words recalled from a 20-item list after 5 minutes. Controlled: list order, ambient noise, participant age, time of day.
Q2. A trial compared two batches of CSIRO drought-tolerant wheat at sites in Wagga Wagga and Dubbo. Yields were higher in Dubbo. Explain why this difference does not establish that the wheat variety performs better in Dubbo, and design a more valid comparison. [2+3 marks]
- Cue. Confounders: soil, rainfall, fertiliser history all differ by site. Valid design grows both varieties side-by-side at each site with randomised plot allocation and replication.
Q3. A pharmaceutical company tests a new analgesic on 200 volunteers. (a) Explain the difference between single-blind and double-blind designs. (b) Explain why double-blind is preferred. (c) Identify one situation in which double-blinding is not possible. [2+2+2 marks]
- Cue. (a) Single: participants unaware of group; double: researchers also unaware. (b) Removes observer expectancy and participant placebo. (c) Surgical interventions, or where treatment has an obvious side-effect.
Exam-style questions
Questions in the style of NESA exam questions on this dot point, each with a worked answer. They are written by ExamExplained unless tagged "Past paper"; the year shows the paper a question is modelled on.
2023 HSC-style5 marksA researcher investigated whether caffeine affects the heart rate of Daphnia. Outline the experimental design, identifying the independent, dependent and controlled variables and the role of the control group.Show worked answer →
A 5-mark answer needs the three variable types, a control group, and a clear method.
- Independent variable
- The caffeine concentration applied to the Daphnia (for example, 0, 0.1, 0.5, 1.0 per cent). This is what the researcher deliberately changes.
- Dependent variable
- The heart rate of Daphnia in beats per minute, measured under a microscope.
- Controlled variables
- Temperature of the water (around 18 degrees Celsius), light intensity, age and size of Daphnia, the time of acclimatisation before measurement, the observer doing the counts. These are held constant.
- Control group
- Daphnia placed in pond water with zero caffeine, treated identically in every other way. The control establishes the baseline heart rate against which treatment groups are compared.
- Method
- Acclimatise individual Daphnia in test caffeine concentrations for 5 minutes, then count heart rate for 15 seconds three times per individual, and use at least 10 Daphnia per concentration.
Markers reward correct identification of all three variable types, the role of the control group, and replication.
2021 HSC-style4 marksExplain why a control group is essential in an investigation of the effect of a new fertiliser on tomato yield.Show worked answer →
A 4-mark answer needs the function of the control, what it isolates, and the consequence of omission.
- A control group
- A group treated identically to the experimental groups in every respect except the independent variable (the fertiliser). It receives no fertiliser, or a placebo solution of equal volume.
- What it isolates
- The control allows the researcher to attribute any difference in tomato yield specifically to the fertiliser, rather than to confounding variables such as soil quality, watering schedule, sunlight, plant variety or seasonal effect.
- Why it is essential
- Without a control, observed tomato yield cannot be compared to a baseline. Any high yield could be due to favourable weather or pest absence, not the fertiliser. The control quantifies what happens in the absence of the treatment.
- Consequence of omission
- Without a control, the experiment cannot conclude that the fertiliser caused the result. Correlation without comparison is not evidence of effect.
Markers reward the definition, the isolation of confounders and an explicit reason why the experiment would fail without a control.