Notes
Slide Show
Outline
1
Measurement & Hypotheses
  • Measurement is at the core of science. Agreeing on how ideas and outcomes can be measured and evaluated is crucial to testing hypotheses with experiments.
2
Reading Assignment
  • In addition to the parts of chapter 1 that describe hypothesis testing and other parts of the scientific method, read appendix A1 and learn the units of the metric system, if you do not already know them.
3
Measurement and Hypotheses
  • Observations (not authority of books or human institutions) are the ultimate source (=authority) of scientific knowledge.
  • Causes are inferred when observations can be organized into repeated patterns. The process of generating cause(s) is called induction.
  • A hypothesis is a statement proposing how something works.
4
OBSERVATIONS
  • Scientists believe there is a ‘real world’ accessible in the same way by all individuals.
  • Measurement and counts are something all individuals can agree on. Most scientific observations involve measurement.
  • Instruments are built to improve measurement range and accuracy.
5
Statistics
  • A value calculated from a set of multiple measurements is called a statistic.
  • Common, simple statistics:
    • Mean
    • Median
    • Variance
    • Range (best expressed as a pair of values)

6
TYPES of Observations
(of interest to ecologists)
  • Measurement of fundamental attributes: distance, mass, temperature, time.
  • Measurement of rates, e.g. change per unit time, or even per time squared.
  • Measurement of complex attributes, such as energy = g∙m2∙sec-2.
  • Abundance, counts of individuals, N.
7
MEASUREMENT
  • Humans have devised many different systems of measurement. Scientists need a universal and simple system. The metric system was adopted by scientists.
  • The SI (metric) system is based on powers of ten. Prefixes allow one to write a large range of measurements succinctly.
  • http://en.wikipedia.org/wiki/SI_prefix
8
Distance (=length) Measurement
  • The meter (m) is the basic unit of length and, therefore, area and volume.
    • People are mostly 1.5 to 2.0 m tall.
  • Single-cell organisms such as algae and protozoa usually are smaller than 1 mm (millimeter) and larger than 1 μm (micrometer).


9
Area & Volume Measurement
  • Area is measured in squared units of length, l2, volume in cubed units of length, l3 = l•l•l.
  • The ‘hectare’ is the measurement used for large areas such as a farm field. One hectare is 10,000 or 104 square meters (m2).
10
Mass Measurement
  • The basic unit of SI mass is the kilogram, kg.
    • Your textbook weighs 3.4 kg.
  • Your weight (units of force) would be different on the moon than it is on earth, but your mass is the same both places.
  • The mass of  carbon in CO2 in the earth’s atmosphere is 778 Petagrams (=778x1015 g)
11
Volume measurement
  • Liquids ‘fill’ containers so that the air/liquid boundary is level (due to gravity). This property makes it easy to measure volume of a container.
  • The basic unit of liquid volume is the liter, l. One liter is 1000 cm3.
12
Concentration
  • Different compounds can be mixed in a solution. In such situation we usually measure the concentration of the less abundant component in the more abundant component.
  • Molarity
  • Percent
  • PPM = parts per million, 1 ppm =0.0001%
13
Time Measurement
  • The year is between 365 and 366 days. Calendars attempt to keep each day, say 1 May, in the same position about the sun in every year.


  • The ‘second’ is the SI unit of time.
14
Temperature Measurement
  • Temperature is an especially interesting attribute. There is an ‘absolute zero’.
  • The Kelvin (K) scale places zero there, about 273° C below the freezing point of water.
  • We usually use the Celsius scale in which water freezes at 0° and boils at 100°.
  • °C = (°F – 32)*5/9
15
Induction
  • Observations are organized by the mind into patterns. Patterns are repeatable spatial or temporal organizations.
    • The next element of the sequence: 2, 4, 8, 16, ? is 32, as each element is twice the previous one.
  • Using and inferring PATTERN is a basic human attribute not just for scientists.
16
Deduction
  • Sets of hypotheses provide a framework of knowledge which may be called theory or conventional wisdom. From such frameworks, ideas or hypotheses are derived (= deduced) using reasoning, logic and inspiration.
  • Deduction makes specific predictions using general rules (framework of knowledge).


17
HYPOTHESIS
  • A hypothesis is a statement about what one believes to be true and that can be evaluated by new observations.
  • A hypothesis (statement) can be useful even when it is replaced by a new hypothesis in the future (= proved at least not to have been complete).
  • e.g., Linnaeus hypothesized that the most fundamental separation of living organisms was between plants and animals.
18
EXPERIMENTAL Design
  • Experiments devise situations in which ideas or hypotheses may be evaluated by observations.
  • Manipulated conditions, e.g. a new drug being evaluated, are called ‘treatments’.
  • A good experiment has a ‘control’ which evaluates the ‘no special treatment’ outcome.
  • The control for a new drug is called a ‘placebo’. A placebo creates the illusion that a drug is being taken when no drug is in the ‘pill’.
19
Populations and Probabilities
  • Treatments may change the probabilities of outcomes for members of a population. Both outcomes, cancer & no cancer, occur in the control and other treatments.
  • Statistical analysis of outcomes tell whether or not the probabilities of specific outcomes differ according to treatments.
20
PROBLEM
  • Express the following values in units of meters using exponential notation.
    • A. 0.012 mm
    • B. 567,000 km
    • C. 0.00000098 m
    • D. 5’ 9”
  • Convert 50° F to Celsius.
21
Vocabulary
  • Celsius scale
  • Control
  • Conventional wisdom
  • Experimental design
  • Hypothesis
  • Observation
  • Mean
  • Median
  • Measurement
  • Treatment (group)