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Grammar for Quantitative
Statements
David Marsh
Good First Drafts: Training for Better Writing
CORE Spring Meeting
Baltimore, MD – 25 April 2013
• Preliminaries
• Rules
• Quiz
• Formula
Outline
Preliminaries
• We write them all the time!
– Situation analyses, desk research,
baseline surveys and most other
activities yield numbers.
• The challenge: report important
numbers:
– Correctly
– Persuasively
“Quantitative sentences”
• Refers to the rules to write a correct, clear,
conventional quantitative sentence with:
– the necessary information
– and often in human terms (“human face”)
• The sentences may not be short because
quantitative information can be long.
– The message (i.e., the word part) is short.
“Grammar for quantitative
sentences”
Rules
Familiar rules (easier)
• Do not start sentences with numerals.
• Spell numbers less than 10.
• Start sentences with people as subjects:
– “Vietnamese children experience two times…”
– “Minority mothers suffer more…”
• Not with abstractions, like:
– “Figure 1 presents…
– “Table 2 shows…”
– “The average weight gain…”
not
Save the Statistics
Save the Children
• Reference a table, figure or graph at the end of
the first sentence in the paragraph referring to it:
– Youth have more employment opportunities in Saigon
than in Sapa (Table 2).
• If the paragraph makes more than one
observation from the same table, figure, or
graph, referencing “(Table 2)” at the end of the
first observation is enough for that paragraph.
• Reference “(Table 2)” again in following
paragraphs, as necessary.
Familiar rules (easier) – 2
• Include supporting evidence, such as percents
and sometimes numerators and denominators.
• Compare the following statements:
– Boys are smarter than girls in Hue (% with IQ >
120: 30 vs. 10% for boys and girls, respectively).
– Boys are smarter than girls in Hue (% with IQ >
120: 30 [3/10] vs. 10% [1/10] for boys and girls,
respectively).
– Boys are smarter than girls in Hue (% with IQ >
120: 30 [300/1000] vs. 10% [100/1000] for boys
and girls, respectively).
Familiar rules (harder)
• Omitting biostatistical “significance levels”
when they are important to the argument.
– Boys are smarter than girls in Hue (% with IQ
> 120: 30 [300/1000] vs. 10% [100/1000],
p<0.05, for boys and girls, respectively).
• Omitting the reference.
– Boys are smarter than girls in Hue (% with IQ
> 120: 30 [300/1000] vs. 10% [100/1000],
p<0.05, for boys and girls, respectively)
(Ha PB et al, 2020).
Familiar rules (harder) – 2
• How much evidence to include
requires judgment.
• No one wants to read paragraphs
packed with sentences with
percents, numerators, denominators
and p-values
– especially if a table has all these data.
Judgment
• If the message in a sentence is not
central, we can be more concise by
starting with an indicator instead of a
person:
– Bednet use for children under five in
Ethiopia was low (2%) (Demographic and
Health Survey, 2000).
– School completion was higher in District X
than District Y (% completing 10th grade:
40 vs. 26%, p<0.05) (Table Z).
Judgment – 2
• More evidence should be included
when:
– The sentence has a central message
– There is no supporting table
– The evidence (numerator, denominator,
or p-value) affects the interpretation of
the message
Judgment – 3
• Nearly all mothers (90%...)
• Most of the girls (70%...)
• More than half of all youth (54%...)
• About half of the sample (45%...)
• About a third of respondents (30%...)
• One in four families (23%...)
• Few newborns (12%...)
• Almost none of the MOH staff (6%...)
Helpful semi-quantitative
words
Quiz
Table 1: Delivery by Skilled Birth
Attendant in Vietnam, 2002 (%)
Region Skilled Attendant*
Northern Uplands 55.9
Red River Delta 100.0
Vietnam 85.0
*Doctor, trained nurse or trained midwife (2002 Demographic and Health Survey)
Most Vietnamese women (85%) reported delivery by
skilled attendant with wide regional variation (56% in
Northern Uplands vs. 100% in Red River Delta) (Table 1).
Table 2: Vietnamese Women with at
Least Weekly Exposure to Mass Media,
2002 (%)
Group Newspaper TV Radio All 3
Urban 61.1 95.0 51.6 38.5
Rural 22.3 83.7 54.4 15.5
Total 29.7 85.8 53.9 19.9
2002 Demographic and Health Survey
Most Vietnamese women reported watching television at least
weekly (86%) (Table 2). Far fewer listened to the radio (54%) or
read a newspaper (30%). Urban women read a newspaper far
more commonly than their rural counterparts (61 vs. 22%), but
residence had little effect on exposure to television or radio.
Formula
Table 1: Level of Exclusive Breastfeeding
by Age and Sex, Quang Tri Province 2001
Child Sex Level as % (N)
< 2 Mos < 4 Mos < 6 Mos
Female 47.0 (24) 50.0 (45)* 42.1 (58)*
Male 43.5 (21) 25.5 (49) 22.2 (64)
Total 45.3 (45) 37.7 (94) 31.8 (122)
*p<0.05
Study the table. What do
the data say? What is
most important? How
would you write it?
Table 1: Level of Exclusive Breastfeeding
by Age and Sex, Quang Tri Province 2001
Child Sex Level as % (N)
< 2 Mos < 4 Mos < 6 Mos
Female 47.0 (24) 50.0 (45)* 42.1 (58)*
Male 43.5 (21) 25.5 (49) 22.2 (64)
Total 45.3 (45) 37.7 (94) 31.8 (122)
*p<0.05
The next slides draft
and revise a “message
sentence” from this
table step by step.
Draft 1:
The rate of exclusive breastfeeding
was better for girls.
True sentence, but
the comparison is
not complete.
Draft 2:
More insight (and a complete
comparison), but the subject
is still a biostatistical term.
The rate of exclusive breastfeeding
was better for girls than for boys,
especially after age two months.
Draft 3:
Good. The sentence now has
a child, not a statistic, as the
subject! But the passive
voice remains.
Girls were more likely to be exclusively
breastfed than boys, especially after
two months of age.
Draft 4:
Mothers exclusively breastfed their daughters
longer than their sons.
Better. Now we have a
forceful “message” in the
active voice. But where is the
evidence?
Draft 5:
Mothers exclusively breastfed their daughters
longer than their sons (among infants < 4 months
of age: 50 vs. 26%, p<0.05; and < 6 months of
age: 42 vs. 22%, p<0.05, for girls and boys,
respectively).
We now have the short
message and the long
evidence to justify it.
Draft 6:
Mothers exclusively breastfed their daughters
longer than their sons (among infants < 4 months
of age: 50 vs. 26%, p<0.05; and < 6 months of
age: 42 vs. 22%, p<0.05, for girls and boys,
respectively) (Table 1).
We now have the message,
the evidence, and the
reference.
“The Formula”
• Epidemiological and biostatistical information
“with a human face” has three parts:
– Human-Centered Message in active voice
• Open Parenthesis
– Epidemiological Evidence comma
– Biostatistical Evidence - if available
• Close Parenthesis.
– Reference
• Period (or “period reference” – if using superscripts)
HCM (EE, BE) (ref) .
Draft 7:
Mothers reported longer exclusive breastfeeding
for their daughters than for their sons (among
infants < 4 months of age: 50 vs. 26%, p<0.05;
and < 6 months of age: 42 vs. 22%, p<0.05, for
girls and boys, respectively) (Table 1).
Yes! This is even more
careful – our analysis is
based on reports, not
observations.

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Write Better First Drafts - Quantitative Grammar_David Marsh_4.25.13

  • 1. Grammar for Quantitative Statements David Marsh Good First Drafts: Training for Better Writing CORE Spring Meeting Baltimore, MD – 25 April 2013
  • 2. • Preliminaries • Rules • Quiz • Formula Outline
  • 4. • We write them all the time! – Situation analyses, desk research, baseline surveys and most other activities yield numbers. • The challenge: report important numbers: – Correctly – Persuasively “Quantitative sentences”
  • 5. • Refers to the rules to write a correct, clear, conventional quantitative sentence with: – the necessary information – and often in human terms (“human face”) • The sentences may not be short because quantitative information can be long. – The message (i.e., the word part) is short. “Grammar for quantitative sentences”
  • 7. Familiar rules (easier) • Do not start sentences with numerals. • Spell numbers less than 10. • Start sentences with people as subjects: – “Vietnamese children experience two times…” – “Minority mothers suffer more…” • Not with abstractions, like: – “Figure 1 presents… – “Table 2 shows…” – “The average weight gain…” not Save the Statistics Save the Children
  • 8. • Reference a table, figure or graph at the end of the first sentence in the paragraph referring to it: – Youth have more employment opportunities in Saigon than in Sapa (Table 2). • If the paragraph makes more than one observation from the same table, figure, or graph, referencing “(Table 2)” at the end of the first observation is enough for that paragraph. • Reference “(Table 2)” again in following paragraphs, as necessary. Familiar rules (easier) – 2
  • 9. • Include supporting evidence, such as percents and sometimes numerators and denominators. • Compare the following statements: – Boys are smarter than girls in Hue (% with IQ > 120: 30 vs. 10% for boys and girls, respectively). – Boys are smarter than girls in Hue (% with IQ > 120: 30 [3/10] vs. 10% [1/10] for boys and girls, respectively). – Boys are smarter than girls in Hue (% with IQ > 120: 30 [300/1000] vs. 10% [100/1000] for boys and girls, respectively). Familiar rules (harder)
  • 10. • Omitting biostatistical “significance levels” when they are important to the argument. – Boys are smarter than girls in Hue (% with IQ > 120: 30 [300/1000] vs. 10% [100/1000], p<0.05, for boys and girls, respectively). • Omitting the reference. – Boys are smarter than girls in Hue (% with IQ > 120: 30 [300/1000] vs. 10% [100/1000], p<0.05, for boys and girls, respectively) (Ha PB et al, 2020). Familiar rules (harder) – 2
  • 11. • How much evidence to include requires judgment. • No one wants to read paragraphs packed with sentences with percents, numerators, denominators and p-values – especially if a table has all these data. Judgment
  • 12. • If the message in a sentence is not central, we can be more concise by starting with an indicator instead of a person: – Bednet use for children under five in Ethiopia was low (2%) (Demographic and Health Survey, 2000). – School completion was higher in District X than District Y (% completing 10th grade: 40 vs. 26%, p<0.05) (Table Z). Judgment – 2
  • 13. • More evidence should be included when: – The sentence has a central message – There is no supporting table – The evidence (numerator, denominator, or p-value) affects the interpretation of the message Judgment – 3
  • 14. • Nearly all mothers (90%...) • Most of the girls (70%...) • More than half of all youth (54%...) • About half of the sample (45%...) • About a third of respondents (30%...) • One in four families (23%...) • Few newborns (12%...) • Almost none of the MOH staff (6%...) Helpful semi-quantitative words
  • 15. Quiz
  • 16. Table 1: Delivery by Skilled Birth Attendant in Vietnam, 2002 (%) Region Skilled Attendant* Northern Uplands 55.9 Red River Delta 100.0 Vietnam 85.0 *Doctor, trained nurse or trained midwife (2002 Demographic and Health Survey) Most Vietnamese women (85%) reported delivery by skilled attendant with wide regional variation (56% in Northern Uplands vs. 100% in Red River Delta) (Table 1).
  • 17. Table 2: Vietnamese Women with at Least Weekly Exposure to Mass Media, 2002 (%) Group Newspaper TV Radio All 3 Urban 61.1 95.0 51.6 38.5 Rural 22.3 83.7 54.4 15.5 Total 29.7 85.8 53.9 19.9 2002 Demographic and Health Survey Most Vietnamese women reported watching television at least weekly (86%) (Table 2). Far fewer listened to the radio (54%) or read a newspaper (30%). Urban women read a newspaper far more commonly than their rural counterparts (61 vs. 22%), but residence had little effect on exposure to television or radio.
  • 19. Table 1: Level of Exclusive Breastfeeding by Age and Sex, Quang Tri Province 2001 Child Sex Level as % (N) < 2 Mos < 4 Mos < 6 Mos Female 47.0 (24) 50.0 (45)* 42.1 (58)* Male 43.5 (21) 25.5 (49) 22.2 (64) Total 45.3 (45) 37.7 (94) 31.8 (122) *p<0.05 Study the table. What do the data say? What is most important? How would you write it?
  • 20. Table 1: Level of Exclusive Breastfeeding by Age and Sex, Quang Tri Province 2001 Child Sex Level as % (N) < 2 Mos < 4 Mos < 6 Mos Female 47.0 (24) 50.0 (45)* 42.1 (58)* Male 43.5 (21) 25.5 (49) 22.2 (64) Total 45.3 (45) 37.7 (94) 31.8 (122) *p<0.05 The next slides draft and revise a “message sentence” from this table step by step.
  • 21. Draft 1: The rate of exclusive breastfeeding was better for girls. True sentence, but the comparison is not complete.
  • 22. Draft 2: More insight (and a complete comparison), but the subject is still a biostatistical term. The rate of exclusive breastfeeding was better for girls than for boys, especially after age two months.
  • 23. Draft 3: Good. The sentence now has a child, not a statistic, as the subject! But the passive voice remains. Girls were more likely to be exclusively breastfed than boys, especially after two months of age.
  • 24. Draft 4: Mothers exclusively breastfed their daughters longer than their sons. Better. Now we have a forceful “message” in the active voice. But where is the evidence?
  • 25. Draft 5: Mothers exclusively breastfed their daughters longer than their sons (among infants < 4 months of age: 50 vs. 26%, p<0.05; and < 6 months of age: 42 vs. 22%, p<0.05, for girls and boys, respectively). We now have the short message and the long evidence to justify it.
  • 26. Draft 6: Mothers exclusively breastfed their daughters longer than their sons (among infants < 4 months of age: 50 vs. 26%, p<0.05; and < 6 months of age: 42 vs. 22%, p<0.05, for girls and boys, respectively) (Table 1). We now have the message, the evidence, and the reference.
  • 27. “The Formula” • Epidemiological and biostatistical information “with a human face” has three parts: – Human-Centered Message in active voice • Open Parenthesis – Epidemiological Evidence comma – Biostatistical Evidence - if available • Close Parenthesis. – Reference • Period (or “period reference” – if using superscripts) HCM (EE, BE) (ref) .
  • 28. Draft 7: Mothers reported longer exclusive breastfeeding for their daughters than for their sons (among infants < 4 months of age: 50 vs. 26%, p<0.05; and < 6 months of age: 42 vs. 22%, p<0.05, for girls and boys, respectively) (Table 1). Yes! This is even more careful – our analysis is based on reports, not observations.