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Scientific work: TestAS practice testlets

How experiments are designed and evaluated: variables, controls, measurement error, significant figures and what a result does or does not prove.

testas.de lists this topic for the MINT (Maths / CS / Natural Sciences) module. In the test it comes as testlets: a short text, table or formula, then 4 to 8 questions you answer from it.

Topic list: testas.de

Two practice testlets

Full exam-length testlets from the Kollego course, generated the same way as our mocks. Answer from the material, then open each answer to check.

Testlet 1

Designing a fair experiment

An experiment tests whether one factor causes a change in another. The factor that the experimenter deliberately changes is the independent variable; the quantity that is measured is the dependent variable. All other factors that could influence the result are controlled variables and must be kept constant, so that any difference in the result can be attributed to the independent variable. Such an experiment is often called a fair test.

A control group, or control condition, is treated in the same way as the experimental group except for the factor being tested. It provides a baseline for comparison. Without a control, an observed change might be due to something else entirely, such as time, the season or the act of measuring.

A confounding variable is a factor that changes together with the independent variable and also affects the dependent variable. If plants given a new fertiliser are also placed nearer the window, better growth could be due to the light rather than the fertiliser. Random assignment of subjects to groups helps to spread unknown confounding variables evenly. Repeating measurements and using several subjects per group (replication) reduces the influence of chance and allows the variability of results to be estimated.

Good experimental design also includes blinding where people are involved, a clear hypothesis stated before the experiment, and a plan for how results will be analysed. After the experiment, a careful scientist asks whether the results could have another explanation and whether they would hold under other conditions.

Before collecting data, scientists often write down exactly what they will measure and how, so that decisions cannot be influenced by the results. This practice, called pre-registration, is increasingly common in medicine and psychology, where it helps to prevent selective reporting.

A student wants to test whether the concentration of salt in water affects how quickly cress seeds germinate. She has 200 seeds, eight identical dishes and a greenhouse. She places 25 seeds on damp paper in each dish and waters each dish with 20 mL of solution every day. Her plan is shown below.

Student's plan
DishSalt concentrationLocation
1 and 20 g/L (tap water)Window sill, sunny
3 and 42 g/LWindow sill, sunny
5 and 65 g/LShelf, shady
7 and 810 g/LShelf, shady
  1. 1. What is the independent variable in the student's experiment?

    • aNumber of seeds germinating
    • bType of seed used
    • cSalt concentration
    • dAmount of water given
    Show answer

    C: Salt concentration

    It is the factor she deliberately changes.

  2. 2. What is the dependent variable?

    • aLocation of the dishes
    • bGermination of the seeds
    • cVolume of solution given each day
    • dSalt concentration
    Show answer

    B: Germination of the seeds

    It is what she measures.

  3. 3. What is the main flaw in her plan?

    • aShe uses too many seeds per dish for a fair comparison
    • bLight is confounded with salt concentration
    • cShe waters every dish with the same volume
    • dShe uses two dishes per concentration
    Show answer

    B: Light is confounded with salt concentration

    High salt dishes are also in the shade.

  4. 4. Which dishes serve as the control?

    • aDishes 1 and 2
    • bThere is no control
    • cDishes 3 and 4
    • dDishes 7 and 8
    Show answer

    A: Dishes 1 and 2

    Tap water without added salt.

  5. 5. How should she improve the design?

    • aUse only one dish per concentration
    • bPut all high-salt dishes in the sun and the others in the shade instead
    • cWater the high-salt dishes more often
    • dPlace all dishes in the same conditions or assign locations at random
    Show answer

    D: Place all dishes in the same conditions or assign locations at random

    Removes the confounding of light and salt.

  6. 6. Why does she use two dishes for each concentration?

    • aTo make the experiment faster by testing more seeds at once
    • bTo double the amount of salt used
    • cTo estimate variability and reduce chance effects
    • dTo create a confounding variable on purpose
    Show answer

    C: To estimate variability and reduce chance effects

    Replication.

Testlet 2

Which data support a hypothesis?

A scientific hypothesis is a testable statement that proposes an explanation or predicts a relationship. To be useful, it must be specific enough that some possible observations would contradict it. The philosopher Karl Popper argued that scientific hypotheses can never be proved true once and for all, because future observations might contradict them, but they can be falsified by a single reliable contrary observation. In practice, scientists speak of data that support, weaken or refute a hypothesis, and they accept hypotheses that have survived many serious tests.

Whether data support a hypothesis depends on what the hypothesis predicts. Data support it if they agree with its prediction and would have been unlikely if it were false. Data refute it if they clearly contradict its prediction. Data are uninformative if the hypothesis and its alternatives predict the same result; such data cannot decide between them, however much they seem to fit.

A frequent mistake is confirmation bias: seeking or noticing only the data that agree with one's hypothesis. Another is to conclude that a hypothesis is proven because the data are consistent with it, without checking whether other explanations would fit equally well. Good experiments are designed so that competing hypotheses make different predictions.

A biologist studies a population of lizards on an island. Her hypothesis is: "Lizards with longer legs run faster and therefore survive better when predators are present." She considers several observations, each from a separate study, which are listed below. For each observation, she asks whether it supports the hypothesis, weakens or refutes it, or cannot decide.

The biologist also notes that longer legs might have other effects, for example on climbing ability, and that a single observation rarely settles a question on its own; results from different kinds of studies must be weighed together.

The strength of evidence also depends on the quality of the data: a large, well-controlled study counts for more than a single anecdote.

Observations
No.Observation
1In a lab test, lizards with longer legs ran faster on flat ground.
2After predators were introduced to a small island, the average leg length of surviving lizards increased.
3On islands with and without predators, lizards have the same average leg length after 20 years.
4All lizards on the island have four legs.
  1. 1. How does observation 1 relate to the hypothesis?

    • aIt proves the whole hypothesis beyond any reasonable doubt
    • bIt cannot decide anything
    • cIt supports the first part: longer legs, faster running
    • dIt refutes the hypothesis
    Show answer

    C: It supports the first part: longer legs, faster running

    It confirms part of the causal chain.

  2. 2. How does observation 2 relate to the hypothesis?

    • aIt is uninformative
    • bIt supports it
    • cIt shows predators have longer legs
    • dIt refutes it
    Show answer

    B: It supports it

    Survivors had longer legs, as predicted.

  3. 3. How does observation 3 relate to the hypothesis?

    • aIt supports it strongly
    • bIt weakens it
    • cIt is irrelevant
    • dIt proves it
    Show answer

    B: It weakens it

    The hypothesis predicts longer legs where predators are present.

  4. 4. Why can observation 4 not decide the question?

    • aThe hypothesis and its alternatives all predict it
    • bIt is not a quantitative observation
    • cIt concerns only one island
    • dIt was measured in the laboratory rather than in the field
    Show answer

    A: The hypothesis and its alternatives all predict it

    It does not distinguish between hypotheses.

  5. 5. According to Popper, what can a single reliable contrary observation do?

    • aMake a hypothesis untestable
    • bProve a hypothesis true
    • cTurn a hypothesis into a law
    • dFalsify a hypothesis
    Show answer

    D: Falsify a hypothesis

    Hypotheses can be refuted but not finally proved.

  6. 6. What is confirmation bias?

    • aRepeating measurements to reduce error
    • bDesigning experiments with control groups and random assignment
    • cNoticing mainly data that agree with one's hypothesis
    • dRejecting a hypothesis after contrary data
    Show answer

    C: Noticing mainly data that agree with one's hypothesis

    A common source of error.

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