Barnets århundrade II by Ellen Key : Difficulty Assessment for Swedish Learners

How difficult is Barnets århundrade II for Swedish learners? We have performed multiple tests on its full text (freely available here) of approximately 64,331, crunched all the numbers for you and present the results below.

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Difficulty Assessment Summary

We have estimated Barnets århundrade II to have a difficulty score of 69. Here're its scores:

Measure Score
easy difficult (1 - 100)
Overall Difficulty 69% 69
Vocabulary Difficulty 78% 78
Grammatical Difficulty 60% 60

Vocabulary Difficulty: Breakdown

78%

Vocabulary difficulty: 78%

This score has been calculated based on frequency vocabulary (the top most frequently used words in Swedish). It combines various measures of Barnets århundrade II'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 Barnets århundrade II:

Vocabulary difficulty breakdown for Barnets århundrade II: a test for Swedish top frequency vocabulary

We have also calculated the following approximate data on the vocabulary in Barnets århundrade II:

Measure Score
Measure Score
Number of words 64,331
Number of unique words 12,362
Number of recognized words for names/places/other entities 1,559
Number of very rare non-entity words 3,187
Number of sentences 10,046
Average number of words/sentence 6

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 12,114 words (where all the forms of the word are still counted as unique words) in Swedish to be able to read Barnets århundrade II 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 6
Coleman-Liau Index 10
Type/Token Ratio (TTR) 0.192162
Root type/Token Ratio (RTTR) 0.00000298709
Corrected type/Token Ratio (CTTR) 0.00000149354
MTLD Index 71
HDD Index 69
Yule's I Index 83
Lexical Diversity Index (MTLD + HD-D + Yule's I) 74

The type-token ratio (TTR) of Barnets århundrade II is 0.192162. 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 12,362, while the number of words is 64,331, so the TTR is 12,362 / 64,331 = 0.192162. 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, 12,362 / (64,331 * 64,331) = 0.00000298709), while in CTTR, it is divided by a square of the number of words, multiplied twice 12,362 / 2 * (64,331 * 64,331) = 0.00000149354). 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 6, making it understandable for 6-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 74 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 Barnets århundrade II by Ellen Key

We provide you a sample of the text below, however, the full text of the Barnets århundrade II is also available free of charge on our website.

Sample of text:

o. m. Uppsala medicinska fakultet — ehuru med små, varsamma steg — närmat sig vissa av de önskemål, dem rashygienen i alla kulturland uppställer. Nu torde man snart ej behöva framhålla samhällets rätt till kraftiga ingrepp i och för människoämnenas höjande. Ty dessa tankar — som nu även i Sverge behandlas i populära föredrag och skrifter — intränga på alla vägar i samtidens medvetande. Och om än olika meningar råda om medlen, målet står redan klart för varje tänkande människa. När jag någonstädes i rashygienens intresse påpekade att de kvinnor, som ej behövde skriva eller måla för att förtjäna sitt uppehälle, kunde bruka sin tid bättre genom uppdragandet av »stamträd» än genom frambringandet av obehövlig litteratur och konst, ansågs detta vara ett underskattande av kvinnans »skaparkraft». ...

Top most frequently used words in Barnets århundrade II by Ellen Key*

Position Word Repetitions Part of all words
Position Word Repetitions Part of all words
1 och 1,725 2.68%
2 att 1,463 2.27%
3 som 1,070 1.66%
4 den 1,007 1.57%
5 en 939 1.46%
6 av 935 1.45%
7 de 923 1.43%
8 det 857 1.33%
9 för 814 1.27%
10 är 604 0.94%
11 med 540 0.84%
12 471 0.73%
13 till 467 0.73%
14 om 420 0.65%
15 man 414 0.64%
16 ett 400 0.62%
17 sig 375 0.58%
18 eller 347 0.54%
19 genom 330 0.51%
20 icke 293 0.46%
21 ej 285 0.44%
22 detta 276 0.43%
23 har 263 0.41%
24 sin 242 0.38%
25 230 0.36%
26 barnet 221 0.34%
27 barnen 209 0.32%
28 barnets 208 0.32%
29 dem 205 0.32%
30 barn 205 0.32%
31 vid 199 0.31%
32 kan 196 0.3%
33 alla 195 0.3%
34 Men 193 0.3%
35 193 0.3%
36 äro 180 0.28%
37 där 177 0.28%
38 andra 174 0.27%
39 även 173 0.27%
40 sina 170 0.26%
41 endast 167 0.26%
42 dess 166 0.26%
43 denna 162 0.25%
44 under 158 0.25%
45 dessa 156 0.24%
46 utan 155 0.24%
47 vilka 154 0.24%
48 han 153 0.24%
49 än 149 0.23%
50 skola 145 0.23%
51 jag 142 0.22%
52 skall 140 0.22%
53 från 140 0.22%
54 allt 135 0.21%
55 ha 130 0.2%
56 nu 127 0.2%
57 vad 122 0.19%
58 efter 119 0.18%
59 själv 116 0.18%
60 sitt 115 0.18%
61 vara 113 0.18%
62 deras 111 0.17%
63 när 109 0.17%
64 vilken 108 0.17%
65 mot 106 0.16%
66 kunna 106 0.16%
67 uppfostran 106 0.16%
68 sedan 102 0.16%
69 var 102 0.16%
70 mer 100 0.16%
71 bli 99 0.15%
72 egen 95 0.15%
73 blir 95 0.15%
74 95 0.15%
75 skolan 95 0.15%
76 stora 92 0.14%
77 mycket 92 0.14%
78 nya 91 0.14%
79 bör 90 0.14%
80 göra 90 0.14%
81 samma 87 0.14%
82 lära 87 0.14%
83 barnens 86 0.13%
84 år 86 0.13%
85 måste 85 0.13%
86 hos 85 0.13%
87 ex 84 0.13%
88 över 84 0.13%
89 lika 83 0.13%
90 redan 82 0.13%
91 något 81 0.13%
92 själva 80 0.12%
93 varje 80 0.12%
94 annat 78 0.12%
95 ur 78 0.12%
96 borde 72 0.11%
97 åt 70 0.11%
98 undrade 70 0.11%
99 egna 70 0.11%
100 ännu 69 0.11%
101 liksom 69 0.11%
102 årh 69 0.11%
103 skulle 66 0.1%
104 fall 65 0.1%
105 aldrig 65 0.1%
106 tid 64 0.1%
107 livet 64 0.1%
108 Ty 63 0.1%
109 vilket 62 0.1%
110 rätt 61 0.09%
111 hans 60 0.09%
112 ofta 59 0.09%
113 fråga 59 0.09%
114 vi 59 0.09%
115 kunde 58 0.09%
116 in 58 0.09%
117 första 58 0.09%
118 inom 57 0.09%
119 stället 57 0.09%
120 hela 56 0.09%
121 många 55 0.09%
122 någon 55 0.09%
123 annan 54 0.08%
124 lär 54 0.08%
125 medan 54 0.08%
126 sätt 54 0.08%
127 ifall 53 0.08%
128 hon 52 0.08%
129 mellan 52 0.08%
130 stryk 52 0.08%
131 sålunda 51 0.08%
132 föräldrar 50 0.08%
133 ge 49 0.08%
134 får 49 0.08%
135 samt 49 0.08%
136 olika 48 0.07%
137 ord 48 0.07%
138 utveckling 48 0.07%
139 vill 48 0.07%
140 några 47 0.07%
141 varit 47 0.07%
142 låta 46 0.07%
143 vilja 46 0.07%
144 väl 46 0.07%
145 gång 46 0.07%
146 arbete 46 0.07%
147 hem 46 0.07%
148 alltid 45 0.07%
149 all 45 0.07%
150 medel 44 0.07%
151 dels 44 0.07%
152 unga 44 0.07%
153 huru 44 0.07%
154 liv 44 0.07%
155 just 44 0.07%
156 oss 43 0.07%
157 blivit 43 0.07%
158 finnas 43 0.07%
159 intet 42 0.07%
160 bok 42 0.07%
161 helt 42 0.07%
162 of 41 0.06%
163 mest 41 0.06%
164 emedan 41 0.06%
165 föräldrarna 41 0.06%
166 eget 41 0.06%
167 däremot 40 0.06%
168 finnes 40 0.06%
169 kommer 40 0.06%
170 vuxna 40 0.06%
171 blott 40 0.06%
172 små 39 0.06%
173 först 39 0.06%
174 bland 39 0.06%
175 skolans 39 0.06%
176 stor 39 0.06%
177 ena 39 0.06%
178 lärare 39 0.06%
179 vissa 39 0.06%
180 länge 39 0.06%

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 Barnets århundrade II by Ellen Key

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.