Doing good quality research 1 /54 1. The Research Research is looking for the truth! The truth may not always be what you think it is! 2 /54 1. The Research Here is a fact: We have proved this wheat variety is drought resistant How? By growing it in several trials under drought conditions How do you know it is more drought resistant? It gave higher yields than other wheat varieties How do you know it is because of better drought resistance and not something else? This is a region with lower than average rainfall Every year? No, two years out of three What about the years of your trials? Yes, it was dry two years out of three But was drought the major factor affecting yields? We assumed it was as it’s a dry area Could it have been because of greater disease resistance, competition with weeds, better uptake of fertiliser, or something else? Possibly Did you check this? No, and anyway, weeds are always a problem So how do you know the better yield of the variety is not because of something else? We assumed it was drought resistance as it’s a dry area Did you measure soil water content to test if it was low enough to stress the crop? Yes, we always do In the experimental field? No, in a field 100 m away Is the soil the same in that field? Probably, though we haven’t checked in detail Hmm. OK. What about yields in the wet years? The variety also gave high yields So is it drought resistant or just high yielding? Well, yes, it seems to be high yielding every year So have you proved it is drought resistant? Well, probably but we’re not absolutely certain I see! So is it a fact? 3 /54 1. The Research A lot of research appears to be based on proving facts by doing experiments. A fact is regarded to be the result of one or more experiments. Frequently, research programmes seem to be built around the availability of facilities/ equipment/chemicals without having a logical research strategy to follow. Good quality research is largely based on hypothesis testing. You set up a hypothesis and then design experiments to test it. 4 /54 1. The Research A dictionary definition Hypothesis [n] 1. A concept that is not yet verified but that if true would explain certain facts or phenomena; 2. A proposal intended to explain certain facts or observations 5 /54 1. The Research Here is an example of a hypothesis based on a proposal for funding by a UK funding agency: Hypotheses a) .... b) … c) .... d) Decreased water availability initiates ABA synthesis and hence modifies gene expression via an ABA-mediated signalling pathway. Individual (ABA, ions and pH) and common (network) signal transduction components are involved. Let’s look at this last hypothesis in more detail ... 6 /54 1. The Research The hypothesis is that .. d) Decreased water availability initiates ABA synthesis and hence modifies gene expression via an ABAmediated signalling pathway. So, based on previous research of the proposer, or evidence in the literature, or just an intelligent guess, a hypothesis has been put forward for testing as part of the research project. The hypothesis tells you what you are going to need to look at: - varying the availability of water - measuring ABA concentrations - aspects of gene expression 7 /54 1. The Research The project will look at varying the availability of water as a treatment, [suitable amounts of water will need to be thought about] then looking at the consequences of this in terms of ABA production. [decisions will need to be made on where to measure ABA and when] Finally, some aspects of gene expression will need to be studied. [decisions will need to be made on which genes and when to measure expression] However, this last point raises a critical additional question: How will you show that the gene expression is due to a change in ABA synthesis and not a direct effect of water stress itself? 8 /54 1. The Research This is a key factor needed for good quality research: • Designing the experiments to ensure that there can be no other explanation that would invalidate the test of your hypothesis. • Only then will you know whether your hypothesis is right or wrong! This leads to ... 9 /54 1. The Research The Research Cycle Formulate a hypothesis Formulate a new hypothesis Hypothesis Hypothesis Interpret the results and make conclusions Deduce Analyse Process the results Work out how to test it Design Carry out Do the experiment and collect the data 10 /54 1. The Research For a series of experiments testing a sequence of hypotheses it is often helpful to prepare a GANTT chart A GANTT chart shows how the various components of a project are related in time, so that the overall objectives are achieved at the end of the project. [Gantt was an American industrial engineer and efficiency expert about a century ago.] Here is an example ... 11 /54 1. The Research Here’s a GANTT chart for an EU project. WP Let’s see how we can expand part of it to develop a research cycle: 1 D1.1 D1.2 D1.3 D1.4 Baseline hy dro-meteorological sites set up. Dev elopment of GIS and LWEIS in WB. Data f rom f ield campaigns each y ear. Crop/hy drological runof f models working. D2a.1 D2a.2 D2a.2 D2a.2 Partner 6 Temporal Temporal Temporal WP2 laboratory established. data on chemicals in water (y r1). data on chemicals in water (y r2). data on chemicals in water (y r3). WP2a The experiments: D2b.1 Bacterial pollutants of water measured (y r1). Tomato plants being grown in a glasshouse from April to August with D2b.2 Faecal pollution of raware water measured. D2b.3 Contamination with pathogens measured. different waterof water regimes tor2).try toWP2b increase water-use efficiency (especially PRD D2b.1 Bacterial pollutants measured (y D2b.4 Strategies to prev ent contamination. partial alternate root drying). D2b.5 Washing strategies f or crops. D2b.1 Bacterial pollutants of water measured (y r3). The hypothesis to be tested is that PRD will increase water-use efficiency. D2c.1 Ecotoxicology of f ish - y ear 1. D2c.1 Ecotoxicology of f ish - y ear 2. D2c.1 Ecotoxicology of f ish - y ear 3. WP2c D3a.1 D3a.2 D3a.3 D3a.4 D3a.5 D3a.6 D3a.7 D3a.8 WP3a Partner 6 WP3 laboratory established. Irrigation f acilities set up at P4, P5 and P6. Datasets on crop water and nutrient use. Assessing ef f ects of nutrient treatments. Assessing inf luence of pH on growth. Assessing ef f ects on crop production & quality . Inf ormation using PRD to sav e water. Recommendations f or growers. D3b.1 Inf ormation on quinoa in Macedonia. D3b.2 Booklet f or growers on quinoa. Design D3c.1 Paramerisation of the DAISY model. D4.1 D4.2 D4.3 D4.4 D4.5 D5.1 D5.2 D5.3 D5.4 D5.5 Mar Apr May Preparation for sampling Equipment OK, plants OK, everything plants if needed. tubes labelled. DatabasePrepare of WB stakeholders, etc set Thin up. details July Aug Sept Sampling Plan each day. Think ahead. Rescheduling if problems? Harvest What data will be needed? Data analysis Check for errors. More details More details More details WP3b Start experiment WP3c Institutional f act-f inding report. Plan when to sow, Sow all seeds. Farmer questionnaires dev eloped f or WP4. how to sow, Check seedling Institutional recommendations. WP4 Cost-benef it analy ses f or sev eral crops. how many plants. establishment. Cost-benef it analy sis f or quinoa. Six-monthly dissemination meetings. Annual project report s. A GIS-Net network established. Booklet prepared f More or WB f armers. June WP5 More details More details 0 6 12 18 Month GANTT chart: WATERWEB timetable of activities 24 30 36 12 /54 1. The Research A good research programme has to take account of four key components: - the scale of the programme - the cost of the programme - the time available for the programme - the quality of the results Each of these factors depends on the others, so they can be considered as a research pyramid ….. 13 /54 1. The Research The Research Pyramid Scale Quality Cost Time You need to adjust Scale, Cost and Time to maximise Quality Note that the line joining Quality to Cost is dashed. In fact Quality rarely depends on Cost! 14 /54 1. The Research Now it’s your turn to work out a research cycle: Here’s an exercise for you in experimental design (working in groups of two) ... On a visit to your local supermarket you see an advertisement for large decorative sugar crystals to serve with your filter coffee. This looks attractive and will impress your dinner guests, so you decide to buy some! But, will the large crystals take longer to dissolve than other forms of sugar? If so, this could be a disadvantage. You have some other types of sugar at home, so you decide to design some experiments to test this. 15 /54 1. The Research As well as the large decorative sugar crystals, in the cupboard you have also found: • icing (powdered) sugar • granulated (crystal) sugar • raw cane (brown) sugar • sugar cubes In your kitchen, as well as water, you have a balance (kitchen scales), a spoon, a glass beaker, a measuring jug, and you have an egg timer. 16 /54 1. The Research Prepare two hypotheses to test using the five sugar samples. What are the variables in the experiments going to be? Do you have enough equipment to test your hypotheses? If not, what else you will need (from your house)? Do you foresee any problems? How can you reduce the errors in the measurements? Now design some experiments to test your two hypotheses ... 17 /54 1. The Research Here are my ideas: Points to consider: Rate of dissolving sugar might depend on • type of sugar, • temperature of the water, • ratio of sugar weight:water volume, • speed of stirring the water • shape of the beaker • size of the spoon The most difficult parts of the experiments are likely to be • maintaining a constant stirring rate, • seeing when the sugar is completely dissolved 18 /54 1. The Research So, taking into account these factors, it is clear that several types of comparison could be made and, whatever the design of the comparisons, because of the lack of a proper stirrer the level of replication may need to be high (up to 10?). 19 /54 1. The Research My two hypotheses are: 1. The different types of sugar will differ in their rates of dissolving, with the icing sugar being quickest and the large crystal sugar the slowest. 2. The rate of dissolving will depend on the temperature of the water, with the sugar dissolving quicker in hot than in cold water. 20 /54 1. The Research Extra equipment needed: 1. Some sort of weighing ‘boat’ to transfer the sugar from the kitchen scales to the beaker. 2. Maybe a jam thermometer to record the temperature of the water. 3. A musical metronome would be useful to keep stirring rates constant. 4. Some sort of watch or clock. [The egg-timer is not likely to be accurate enough] 21 /54 1. The Research Experimental design: Five types of sugar to be tested, using a constant weight of each. [As the sugar cubes cannot be subdivided, the weight of five cubes will be the standard weight.] Two volumes of water to be tested, using the measuring jug to measure out 80% and 40% of the volume of the glass beaker. [Space needs to be left in the beaker to avoid the water being spilt during the experiments.] Two water temperatures will be compared: water equilibrated to the temperature of the cold tap, and the hot tap. [Make sure the hot water boiler is full and fully heated at the start.] 22 /54 1. The Research Experimental design (cont): The sugar will be weighed out on the kitchen scales, using a piece of paper as a weighing ‘boat’ and added to the glass. The relevant volume of water will be measured out and added when the watch second hand reaches 00.00. Stirring will start immediately with the spoon, noting the time to complete disappearance of traces of sugar. Each type of sugar will be tested five times (as a first guess). [To reduce errors amongst replicates, the water will be stirred at approximately one cycle per second.] Problems: 1. Not being able to see when the icing sugar is dissolved. 2. Large differences between replicates because of poor stirring. 3. Spilling the water if difficult to stir with the spoon. 4. Variation in hot water temperature from one replicate to the next. 23 /54 1. The Research Total measurements to be collected: 5 x sugar types 2 x water temperature 2 x water volume 5 replicates of each sugar x temperature x volume combination = 100 measurements in total. 24 /54 1. The Research Here is my GANNT chart showing the timing of activities: Activity Prepare weights Measure rates Prepare weights Measure rates Prepare weights Measure rates Prepare weights Measure rates Calculate results Cold water 40% full Cold water 80% full Hot water 40% full Hot water 80% full 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 1 2 3 4 5 Time All weights for each sugar type for 5 replicates weighed out at the beginning of each particular treatment (storing samples in paper ‘boats’ until needed). Time for a refreshment break! 25 /54 1. The Research So, you have now collected all your data. How are you going to present the results? When showing results graphically, you should always put the most important comparisons nearest to each other. Therefore, in the case of our sugar experiment: Time to dissolve Time to dissolve Key: 1 = large crystals, 2 = cubes, 3 = raw sugar, 4 = ordinary, 5 = icing, H = hot water, C = cold water Temp. H C Sugar 1 HC HC HC HC 2 3 4 5 Not this ... Sugar Temp. 1 2 3 4 5 Hot 1 2 3 4 5 Cold ... but this - I have assumed that large crystals are slowest to dissolve. 26 /54 1. The Research Conclusion from the sugar experiment: It looks as if the large decorative crystals took longer to dissolve in water than the other forms of sugar. So, slower to dissolve in your coffee! Or are they? ... What was missing from the graphs? Of course, you all noticed that none of the figures on the previous page had any error bars, didn’t you?! Until you know whether the differences are significant or not, you can’t test your hypothesis. So, how are you going to do this? 27 /54 1. The Research The ‘null’ hypothesis This is a statistical term allowing you to test whether two or more sets of data are significantly different. [‘null’ means having nothing/being empty/non-existent, so in the statistical sense it means ‘no difference’.] Therefore, in the case of our sugar samples, the ‘null’ hypothesis would be that there is no significant difference amongst the rates of dissolving each type of sugar in water. 28 /54 1. The Research This is where the problems start. This is where good experimental design is important. What are you going to compare with what? What are your controls going to be? Are they the only controls or should you have several types of control? How many replicates of the tests do you need to know whether the differences are significant or not? 29 /54 1. The Research Will you use individual samples, pooled samples or paired samples? What statistical methods will you use to test whether the data sets are different? Are there alternative statistical methods that would be better but possible only if you changed the experimental design? You need to think about all of this before you start any experimental work as this will determine your experimental design. 30 /54 1. The Research For example, if a growth cabinet is big enough to test only 12 plants at once and you want to test 2 varieties with 6 plants for each of 2 water stress treatments (total of 24 plants), - is it better to have 6 plants of both varieties for just one treatment in the cabinet at the same time to make sure they are all under the same growth conditions and then use the cabinet on a different occasion for the second treatment, or - do you have 6 plants per treatment in the cabinet for one variety, and then do the second variety with 6 plants per treatment on another occasion, or - do you split the replicates into 2 and have 3 plants per treatment for both varieties at once, and then do the second 3 replicates on another occasion? 31 /54 1. The Research Maybe 6 replicate plants is more than you need? In fact, how many replications do you need to be able to find a significant difference between two or more treatments? - this is a question I have often been asked! [It’s a bit like asking the question ‘How long is a piece of string?’ Answer - that depends how long it is!] So, the answer to the number of replicates needed will depend upon how much variation there is within a treatment. The bigger the variation within a treatment, the more replication you will need in your experiment to find significant differences between treatments. Let’s look at an example …. 32 /54 1. The Research Take two sets of five replicate values: Set A mean Set B mean It doesn’t take a PhD, or even an MSc degree to decide that set A is more variable than set B, so it will need more replicates of set A to find significant differences than with set B. 33 /54 1. The Research So, the more success you have in designing the experiment to reduce the variation within a treatment, the easier it will be for you to find significant differences between treatments. In the example above, if this was plant height, maybe seed size varies a lot for variety A, but is very uniform in variety B. Therefore, selecting for uniform seeds might help reduce the variation within the variety. 34 /54 1. The Research In the same way, if you don’t think carefully enough about all the factors that might have an influence on the response to the treatments, then you could get the wrong answer when you test your ‘null’ hypothesis. [Think about the growth cabinet example earlier: if the same cabinet is used to test all replicates of one variety and then all replicates of the second variety, but the cabinet temperature changes between the two trials, … what do you think would be the consequence? All the experimental results will be invalid (not worth anything!!!), but you might not be aware of this if you didn’t realise the temperature had changed because you didn’t think to measure it!] 35 /54 1. The Research Here’s an example from my research programme at Newcastle University of looking for the truth The hypothesis: Ozone is damaging to the yield of wheat plants, and the more ozone you give them, the lower the yield. [Note that wheat is supposed to be the most sensitive crop to ozone in the UK!] The highest ozone treatment given in open-top chambers (75 ppb) should have been enough to cause significant damage. 36 /54 1. The Research This is the result of ranking wheat genotypes for yield under ozone (75 ppb) relative to control yields using the original data: Ratio yield/plant 75ppb/Control 2.5 2 1.5 Note lots of genotypes with yield stimulated by ozone!! 26 genotypes > 1.1 1 0.5 0 Genotype So the hypothesis is WRONG!! Or is it? 37 /54 1. The Research Well, let’s clean up the data to remove values affected by mice eating the ears, and the bags that were spilt on the floor, etc: Ratio yield/plant 75ppb/Control 2.5 2 1.5 Note lots of genotypes still with yield stimulated by ozone!! 25 genotypes > 1.1 1 0.5 0 Genotype So the hypothesis IS STILL WRONG!! Or is it? 38 /54 1. The Research OK, let’s be clever and think whether it is realistic for the hypothesis to be wrong, or could there still be mistakes in our dataset? Yield in wheat is derived by multiplying the following components: spikelets/ear x ears/plant x grains/spikelet x weight/grain Components are determined at different stages of development - essentially in the order shown above. Ozone treatment started on 20th May. Spikelet production was already completed by 20th May. Therefore spikelets/ear should be the same in both treatments. But for several genotypes there were some small spikelets/ear, particularly for control plants, as shown here: Genotype Spikelets Spikelets Number Control Ozone 21 17 18 21 17 17 21 14 17 21 11 17 21 16 17 21 17 17 39 /54 1. The Research Genotype Spikelets Spikelets Number Control Ozone 21 17 18 21 17 17 21 14 17 21 11 17 21 16 17 21 17 17 So, can we just delete the values that look small? Possibly, if we can show that they are significantly different from the rest. It looks as though the most frequent spikelet number for this line is 17. So, let’s rank all the lines for mean spikelet number, then look at only those lines with spikelet number means from 16.0 to 18.0, i.e. 17.0 plus or minus 1: [Data shaded yellow are for the 75ppb ozone treatment] DHL Mean Sp no. 45 18.7 48 18.5 45 18.5 104 18.3 65 18.0 65 18.0 87 18.0 144 18.0 39 17.8 10 17.8 19 17.8 104 17.8 20 17.7 87 17.7 114 17.7 14 17.7 18 17.7 58 17.7 71 17.5 41 17.5 19 17.3 26 17.3 31 17.3 52 17.3 102 17.3 23 17.3 39 17.3 48 17.3 54 17.3 14 17.2 58 17.2 20 17.2 21 17.2 90 17.2 98 17.2 23 17.0 32 17.0 32 17.0 71 17.0 8 16.8 22 16.8 42 16.8 97 16.8 98 16.8 7 16.8 33 16.8 42 16.8 97 16.8 143 16.8 11 16.7 18 16.7 40 /54 1. The Research Then work out a frequency distribution for spikelet number per ear for those lines: 81 lines (across both treatments), giving in total 476 values for spikelet number per ear. 180 Number per class 160 140 120 100 80 60 40 20 0 8 9 10 11 12 13 14 15 16 17 Spikelet number per ear 18 19 20 21 22 The range from 15 to 19 (green bars) contains 450 values, which = 95% total values. Therefore, any values outside this range (red bars) can be regarded as significantly different. 41 /54 1. The Research So, let’s see what the picture looks like once we have corrected for variation in spikelets per ear (determined before ozone was given): Ratio yield/plant 75ppb/Control 2.5 2.5 2 1.5 Note very few genotypes now with yield stimulated by ozone!! Now only 11 genotypes > 1.1 1 0.5 0 0 Genotype So the hypothesis is probably RIGHT after all!! 42 /54 1. The Research Here is a riddle [brain teaser] for you: When is a significant difference not a significant difference? Answer - when the variation measured is not biological. For example, you want to test whether drought treatments will affect the plant hormone abscisic acid (ABA). Now your experiments will have different sources of variation due to: - the effect of drought on ABA which you want to test, but also - the efficiency of the extraction process for the hormone, and - the efficiency of the method to purify the hormone, and - the reproducibility of the assay for ABA. 43 /54 1. The Research Therefore, you need to know how variable are - the extraction process - the purification protocol and - the hormone assay before you can test the effect of the drought treatments on tissue ABA concentrations. [I have sometimes been sent scientific papers to review where the authors present standard errors for the extraction and assay efficiencies instead of the effect of the treatments!] When was the last time you checked the calibration of your pipettors? So, how many of you have tested your accuracy and precision of using a pipettor? 44 /54 1. The Research Precision and Accuracy Precision is a measure of how closely the analytical results can be duplicated. Replicate samples (prepared identically from the same sample) are analyzed to establish the precision of a measurement (of enzyme activity, for example). Accuracy measures how close to a true or accepted value a measurement lies. The difference between Accepted value accuracy and precision is illustrated here: Precise measurements that are not highly accurate Accurate measurements that are not highly precise http://en.wikipedia.org/wiki/Accuracy_and_precision 45 /54 1. The Research 4 Feb 1999 SP5 Printout format: only FW or DW known Dilution of antibody stock used: not recorded Dilution of labelled (+/-)-ABA stock used: not recorded Tissue (+)-ABA data corrected for 10% immunoreactive contamination Samples extracted on the basis of DW with constant solvent volume. Extraction volume = 1 ml per sample Weights entered in milligrams. Extract volume assayed = 50 ul No. dpm1 dpm2 Mn dpm pg/tube Wt.extr Ratio ng/gDW±se Sample --------------------------------------------------------------------1 2512 2514 2513.0 1053.3 38.6 25.9:1 491.1±0.3 169S QTL 2 2889 2412 2650.5 988.3 46.2 21.6:1 385.0±48.5 40N QTL 3 2515 2575 2545.0 1035.5 31.1 32.2:1 599.3±9.6 57S QTL 4 1750 1740 1745.0 1660.6 37.5 26.7:1 797.0±2.7 148N QTL 5 2876 3141 3008.5 813.8 39.4 25.4:1 371.7±25.5 200N QTL 6 2486 2687 2586.5 1014.4 40.3 24.8:1 453.0±24.3 187N QTL 7 2452 2318 2385.0 1130.5 44.2 22.6:1 460.3±17.0 150N QTL 8 3410 3326 3368.0 673.4 34.3 29.2:1 353.3±7.9 181S QTL 9 2521 2382 2451.5 1090.0 37.5 26.7:1 523.2±19.8 9PN QTL --------------------------------------------------------------------- Here’s an example of an assay for the plant hormone ABA which was carried out with duplicate analyses of each extract. If the duplicates differed by more than 10% from the mean, the extract was re-assayed (as in sample 2). 46 /54 1. The Research Look at the consequences for your results of variation by no more than 10% at different stages in the analysis process: Source of variation Variation Type of variation Experiment to experiment 10% biological Plant to plant within experiment 10% biological Extraction efficiency 95-85% analytical Purification efficiency 95-85% analytical Assay efficiency 95-85% analytical If the true value is 100 at 100% analytical efficiency, a single analysis result could give a value ranging from 100 x 1.05 x 1.05 x 0.95 x 0.95 x 0.95 = 94.5, to 100 x 0.95 x 0.95 x 0.85 x 0.85 x 0.85 = 55.4 ! Biological range = 90.3 - 110.3% of true value. Analytical range = 61.4% - 85.7% of true value. 47 /54 1. The Research How to minimise these errors - 1 Plants (for a pot experiment): • Thoroughly mix the growing medium before use • Weigh equal amounts of medium into each pot • Choose uniform seeds and sow more seeds per pot than you need so that you can thin them to give uniformity later on (say, about 1 week after emerging). • If you are short of seeds, sow 1 per pot, then after all seedlings are emerged and any differences between seedling size clearly visible, rank all plants from smallest to largest and choose one plant per treatment of equal size, then the next size as one per treatment, and so on so that variation in plant size is matched across all treatments. • Give equal amounts of water at the same time to each pot • Move plants around the phytotron/GH (carefully) every few days or use a block design where a block has one plant of each treatment 48 /54 1. The Research How to minimise these errors - 2 Sampling: • Sample at the same time each day (unless testing diurnal trends) • Sample one replicate of each treatment, then the next replicate of each treatment, etc (i.e. not all of treatment 1, then all of treatment 2, etc.) • Label all collection tubes/bags, etc in such a way that it is clear exactly what is what and that the label will not come off (or fade) during storage (note that some ‘biro’ ink can fade in bright light and marker pen ink can easily be rubbed off glass tubes stored in a freezer!) • Be observant and note anything that may cause variation in your results (a leaf affected by disease, or damaged by wounding, etc). 49 /54 1. The Research How to minimise these errors - 3 Analytical measurements: • Check that the pipettors are calibrated and give reliable volumes • Process one (or more) replicate of each treatment in the same batch (as for sampling) • Use the same batch of reagents, buffers, substrates for analysing across all treatments • In a pilot study, check the accuracy and precision of a) your sample extraction procedure (e.g. re-extract your sample) b) your sample purification procedure (e.g. test recovery of a known amount of substance) c) your sample assay procedure (e.g. test quantification of a known amount of substance) • Preferably assay every sample twice and repeat again any giving bad reproducibility 50 /54 1. The Research How to minimise these errors - 4 Identify the comparisons most important to test (e.g. control and stress on a particular occasion, or resistant versus susceptible varieties). Then design your assay protocol to allow those comparisons to be made on the same occasion. If using densitometry scans to quantify peak areas, remember to subtract any background below the baseline. Unless you have previously shown that your assay is both accurate and precise (within 5% of the true value every time), you should replicate your assay. Give your controls the letter ‘a’ if using Duncan’s multiple range test. 51 /54 1. The Research Some comments, based on personal experience, on collecting and analysing good quality data: - with a long-term experiment it is useful to have a diary to remind you what to do each day - if you make a mistake when writing down a measurement, make sure you correct it in a way that is legible to you and to others - form a judgement beforehand on the sort of mean values that would be realistic for the data set: in this way, you are more likely to recognise a value/mean that is a mistake (a number misread when entering into the computer, or a decimal point missed out). 200 For example, a decimal point has clearly been missed out from one of this series of 17 values: 160 120 80 40 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 52 /54 1. The Research - don’t present mean values or errors with a level of precision greater than that justified by the number of replicates. For example, if you have only three values from 5.5 to 9.6 don’t present the mean value with more than 2 decimal places, or errors to more than 1 decimal place. - be careful about relying upon others to do your experimental work for you! The more people involved in the work, the more likely it will be for mistakes to happen, especially with those who have no personal involvement in the outcome of the research (why should I care?). 53 /54 1. The Research Conclusions: So, if you think carefully about all the factors I’ve described, - all the controls that you ought to include - all the factors that might invalidate your comparisons - all the likely costs and facilities needed - all the degrees of replication that will be needed for a particular level of significance to be tested - all the statistical tests you need to do - all the possible sources of error, and - all the things that could go wrong (!), then ... 54 /54 1. The Research you are likely to have a well-designed experiment that will give good quality results, which will give you - a valid test of your hypothesis - something worth writing up for one or more good quality publications - a sound basis upon which to develop ideas on what to do next: forming your next hypothesis - but crucially: access to the TRUTH - and that will give you ... - satisfaction in a job well done! 55 /54 1. The Research
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