Växternas skyddsmedel emot yttervärlden by Bengt Lidforss : Difficulty Assessment for Swedish Learners

How difficult is Växternas skyddsmedel emot yttervärlden for Swedish learners? We have performed multiple tests on its full text (freely available here) of approximately 23,896, crunched all the numbers for you and present the results below.

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Difficulty Assessment Summary

We have estimated Växternas skyddsmedel emot yttervärlden to have a difficulty score of 74. Here're its scores:

Measure Score
easy difficult (1 - 100)
Overall Difficulty 74% 74
Vocabulary Difficulty 88% 88
Grammatical Difficulty 60% 60

Vocabulary Difficulty: Breakdown

88%

Vocabulary difficulty: 88%

This score has been calculated based on frequency vocabulary (the top most frequently used words in Swedish). It combines various measures of Växternas skyddsmedel emot yttervärlden's text analyzed in terms of frequency vocabulary: a plain vocabulary score, frequency-weighted vocabulary score, banded frequency vocabulary scores based on vocabulary of the text falling in the top 1,000 or 2,000 most frequent words, etc. Here's a further breakdown of how often the top most frequently used words in Swedish appear in the full text of Växternas skyddsmedel emot yttervärlden:

Vocabulary difficulty breakdown for Växternas skyddsmedel emot yttervärlden: a test for Swedish top frequency vocabulary

We have also calculated the following approximate data on the vocabulary in Växternas skyddsmedel emot yttervärlden:

Measure Score
Measure Score
Number of words 23,896
Number of unique words 5,300
Number of recognized words for names/places/other entities 283
Number of very rare non-entity words 2,342
Number of sentences 3,361
Average number of words/sentence 7

There is some research suggesting that that you need to know about 98% of a text's vocabulary in order to be able to infer the meaning of unknown words when reading. If true, this means that you would need to know around 5,194 words (where all the forms of the word are still counted as unique words) in Swedish to be able to read Växternas skyddsmedel emot yttervärlden without a dictionary and fully understand it.

Grammatical Difficulty: Breakdown

60%

Grammatical difficulty: 60%

Here is the further grammatical comparison on this text. You can find an explanation of all these scores below.

Measure Score
Measure Score
Automated Readability Index 7
Coleman-Liau Index 11
Type/Token Ratio (TTR) 0.221794
Root type/Token Ratio (RTTR) 0.00000928166
Corrected type/Token Ratio (CTTR) 0.00000464083
MTLD Index 69
HDD Index 66
Yule's I Index 75
Lexical Diversity Index (MTLD + HD-D + Yule's I) 70

The type-token ratio (TTR) of Växternas skyddsmedel emot yttervärlden is 0.221794. The TTR is the most basic measure of lexical diversity. To calculate it, we divide the number of unique words by the number of words in the text. For example, for this text, the number of unique words is 5,300, while the number of words is 23,896, so the TTR is 5,300 / 23,896 = 0.221794. However, the TTR is a very crude measure, as it is extremely dependent on text length. The longer the text, the lower the TTR is usually going to be, since common words tend to often repeat. Especially since the number of words in this text is more than 1,000, the TTR is not likely to give an accurate measure.

The root type-token ratio (RTTR) and corrected type-token ratio (CTTR) are measures which were suggested by researchers to partially address the problem of TTR's variance on text length. In the RTTR, the number of unique words is divided by a square of the number of words (therefore, 5,300 / (23,896 * 23,896) = 0.00000928166), while in CTTR, it is divided by a square of the number of words, multiplied twice 5,300 / 2 * (23,896 * 23,896) = 0.00000464083). However, these measures are not as easily readable, and also there is a growing body of research asserting that CTTR and RTTR do not effectively address the problems of text length. Therefore, while we do provide the full text's TTR, RTTR and CTTR on this page, these fiqures do not form part of our final calculations.

The Automated Readability Index (ARI) is one readability measure that has been developed by researchers over the years. The formula for calculating the ARI is as follows:
Formula for calculating the Automated Readability Index

The ARI should compute a reading level approximately corresponding to the reader's grade level (assuming the reader undertakes formal education). Thus, for example, a value of 1 is kindergarten level, while a value of 12 or 13 is the last year of school, and 14 is a sophomore at college. The current ARI of this text is 7, making it understandable for 7-grade students at their expected level of education.

The Coleman Liau Index (CLI) is a similar index designed by Meri Coleman and T. L. Liau, and it is supposed to compute the grade level of the reader (thus, for example, sophomore level material would be around grade 14, or year 14 of formal education, while kindergarten / primary school level material would be close to grade 1 in the CLI). The CLI is usually slightly higher than the ARI. The CLI is computed with this formula:
Formula for calculating the Coleman-Liau Readability Index

It is notable that other indexes exist, such as the Flesch-Kincaid Reading Ease, Gunning-Fog Score, and others, but we have chosen not to include them, since, contrary to the ARI and CLI, such other indexes are based on a syllable count and therefore arguably only work for English and not Swedish.

We compute a further compound lexical diversity index, which should range from 1 to a 100 (with the standard deviation being around 10, and its average value being around 50) - it is 70 in the present case. The compound lexical diversity index consists of the following indexes, averaged out (and also provided in the table above):

  • the Measure of Textual Lexical Diversity (MTLD) index - a measure which is based on computing the TTR for increasingly larger parts of the text until the TTR drops below a certain threshold point (around 0.7 in our case) - in which case, the TTR is reset, and the overall counter is increased; the counter is at the end divided by the number of words in text; as a result, the MTLD does not significantly vary by text length;
  • the Yule's I index (based on Yule's K characteristic inverted) - an index based on the work of the statistician G.U. Yule, who published his index of Frequency Vocabulary in his paper "The statistical study of literary vocabulary"; Yule's I takes into account the number of words in the text, and a compound summed measure of word frequency;
  • the Hypergeometric Distribution D (HD-D) index (based on vocd) - an index which assesses the contribution of each word to the diversity of the text; to calculate such contributions, a hypergeometric distribution is used to compute probabilities of each word appearing in word samples extracted from the text; then such distributions are divided by sample sizes and added up;

Our overall measure of grammatical diversity is based on a combination of the compound lexical diversity index (which includes the MTLD, Yule's I and HD-D indexes), the ARI and CLI, all normalized and given certain weight. The score should normally range from 1 to 100. In this case, the score is 60.

Other Information about Växternas skyddsmedel emot yttervärlden by Bengt Lidforss

We provide you a sample of the text below, however, the full text of the Växternas skyddsmedel emot yttervärlden is also available free of charge on our website.

Sample of text:

Också trycker assimilationsarbetet sin prägel på hela växtens yttre. Då de klorofyllhaltiga cellerna endast kunna assimilera, om de träffas af tillräckligt starkt ljus, blir det ett önskningsmål för växten, att utsätta så stor yta som möjligt för solstrålarnas invärkan, och detta mål nås därigenom att växtkroppen upplöser sig i tunna skifvor (blad), som så ordnas längs stammen, att de så litet som möjligt skymma bort hvarandra. Än mer: i den omständigheten, att solstrålar, som passerat ett visst antal gröna cell-lager, ej längre kunna åstadkomma någon assimilation, ligger förklaringen på att växternas blad, som företrädesvis bilda assimilationsorgan, i allmänhet äro så tunna och fina och att löfvärket äfven hos de gröfsta träd aldrig blir klumpigt. En kaktusväxt äger visserligen ofta allt annat än behagfulla former, men skär man af en sådan, varsnar man att den gröna cellväfnaden endast ...

Top most frequently used words in Växternas skyddsmedel emot yttervärlden by Bengt Lidforss*

Position Word Repetitions Part of all words
Position Word Repetitions Part of all words
1 och 626 2.62%
2 att 565 2.36%
3 som 550 2.3%
4 en 487 2.04%
5 af 460 1.93%
6 de 378 1.58%
7 är 355 1.49%
8 den 271 1.13%
9 för 265 1.11%
10 med 247 1.03%
11 242 1.01%
12 det 235 0.98%
13 ett 223 0.93%
14 sig 218 0.91%
15 till 203 0.85%
16 158 0.66%
17 ej 153 0.64%
18 man 153 0.64%
19 hos 131 0.55%
20 om 125 0.52%
21 äro 124 0.52%
22 men 123 0.51%
23 mot 121 0.51%
24 äfven 99 0.41%
25 växter 92 0.39%
26 under 91 0.38%
27 kan 87 0.36%
28 detta 85 0.36%
29 blad 85 0.36%
30 eller 84 0.35%
31 andra 83 0.35%
32 83 0.35%
33 hvilka 82 0.34%
34 dessa 81 0.34%
35 sin 80 0.33%
36 genom 80 0.33%
37 har 79 0.33%
38 än 77 0.32%
39 vatten 71 0.3%
40 utan 66 0.28%
41 samma 65 0.27%
42 växten 64 0.27%
43 från 64 0.27%
44 denna 62 0.26%
45 där 59 0.25%
46 alla 57 0.24%
47 växterna 57 0.24%
48 kunna 56 0.23%
49 del 56 0.23%
50 endast 52 0.22%
51 ut 51 0.21%
52 vid 49 0.21%
53 bladen 49 0.21%
54 mängd 49 0.21%
55 efter 47 0.2%
56 dem 47 0.2%
57 allt 47 0.2%
58 ex 46 0.19%
59 skulle 46 0.19%
60 hela 44 0.18%
61 djur 41 0.17%
62 upp 41 0.17%
63 såsom 40 0.17%
64 många 40 0.17%
65 äga 40 0.17%
66 inre 39 0.16%
67 blir 38 0.16%
68 ha 36 0.15%
69 däremot 36 0.15%
70 vara 36 0.15%
71 stark 36 0.15%
72 vanliga 35 0.15%
73 mycket 35 0.15%
74 växt 34 0.14%
75 ofta 34 0.14%
76 starkt 34 0.14%
77 skyddsmedel 33 0.14%
78 dess 33 0.14%
79 hvad 33 0.14%
80 sina 32 0.13%
81 sätt 32 0.13%
82 fallet 32 0.13%
83 ty 31 0.13%
84 lefva 30 0.13%
85 måste 30 0.13%
86 därför 30 0.13%
87 hvilkas 30 0.13%
88 skydda 29 0.12%
89 sitt 29 0.12%
90 arter 29 0.12%
91 nu 29 0.12%
92 oss 29 0.12%
93 form 29 0.12%
94 emellertid 28 0.12%
95 lika 28 0.12%
96 mindre 27 0.11%
97 sådana 27 0.11%
98 ännu 27 0.11%
99 finner 26 0.11%
100 nämligen 26 0.11%
101 stor 26 0.11%
102 olika 26 0.11%
103 också 25 0.1%
104 dock 25 0.1%
105 deras 25 0.1%
106 våra 25 0.1%
107 köld 25 0.1%
108 hvarandra 25 0.1%
109 blott 24 0.1%
110 kommer 24 0.1%
111 stånd 24 0.1%
112 redan 24 0.1%
113 torra 24 0.1%
114 ur 24 0.1%
115 jorden 24 0.1%
116 förmåga 23 0.1%
117 lätt 23 0.1%
118 själfva 23 0.1%
119 sådan 23 0.1%
120 alldeles 23 0.1%
121 några 23 0.1%
122 öfverhuden 22 0.09%
123 fall 22 0.09%
124 öfver 22 0.09%
125 helt 22 0.09%
126 naturligtvis 22 0.09%
127 skydd 22 0.09%
128 ljus 21 0.09%
129 icke 21 0.09%
130 stammen 21 0.09%
131 celler 21 0.09%
132 vattnet 21 0.09%
133 yttre 21 0.09%
134 gäller 21 0.09%
135 hvilken 21 0.09%
136 liksom 21 0.09%
137 dels 20 0.08%
138 finnes 20 0.08%
139 åt 20 0.08%
140 här 20 0.08%
141 luften 20 0.08%
142 hvarje 20 0.08%
143 naturen 20 0.08%
144 mer 20 0.08%
145 gröna 19 0.08%
146 små 19 0.08%
147 vi 19 0.08%
148 särskilt 19 0.08%
149 mellan 19 0.08%
150 lefvande 19 0.08%
151 bli 19 0.08%
152 träd 19 0.08%
153 finnas 19 0.08%
154 taggar 18 0.08%
155 senare 18 0.08%
156 just 18 0.08%
157 trakter 17 0.07%
158 får 17 0.07%
159 långt 17 0.07%
160 grad 17 0.07%
161 cellerna 17 0.07%
162 möjligt 17 0.07%
163 sedan 17 0.07%
164 urslemmet 17 0.07%
165 sålunda 17 0.07%
166 väl 17 0.07%
167 därigenom 17 0.07%
168 annan 17 0.07%
169 snart 17 0.07%
170 alltid 16 0.07%
171 hvars 16 0.07%
172 mera 16 0.07%
173 något 16 0.07%
174 byggnad 16 0.07%
175 kutikula 16 0.07%
176 vanligen 16 0.07%
177 huru 16 0.07%
178 varit 16 0.07%
179 marken 16 0.07%
180 större 16 0.07%
181 bilda 16 0.07%
182 annat 16 0.07%
183 ned 16 0.07%

This list excludes punctuation or single-letter words, also some different-case repeats of the same words.

If you think the text would be accessible to you, you can read it on our site (click on the cover to access):

Cover of Växternas skyddsmedel emot yttervärlden by Bengt Lidforss

Other resources and languages

If you like this analysis, you should have a look at out our lists of Swedish short stories and Swedish books.

If you like literature as a means to learn languages - please take a look at our project Interlinear Books. We even have a Swedish Interlinear book available for purchase.